The probability that exactly four complaints will be received during the next eight hours is 15.41%.
A discrete probability distribution called the Poisson distribution provides the likelihood that an event will occur a specific number of times over the course of a given period of time or location. The formula for this distribution is given by [tex]P(X=x)=\frac{e^{-\mu}\times \mu ^x}{x!}[/tex] where x is the number of successes, μ is the mean, and e is Euler's number.
Given n = 8 hours then, μ = 0.7n = 0.7×8 = 5.6.
Then, the probability that exactly four complaints are received is,
[tex]\begin{aligned}P(X=4)&=\frac{e^{-5.6}\times5.6^4}{4!}\\&=0.1541\end{aligned}[/tex]
The required answer is 15.41%.
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Your school is planning a fundraising dinner. The expense for this event must not exceed $2,475.00. The team organizing the event has calculated that the cost per adult guest will be $18.00 and the cost per child guest will be $9.00. The venue can hold no more than 150 guests.
The two inequalities that describe the total cost and no. of guests are
18a + 9c ≤ 2475 and
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let 'a' be the no. of adults and 'c' be the no. of children.
The expense for this event must not exceed $2,475.00.
Therefore, 18a + 9c ≤ 2475...(i)
The venue can hold no more than 150 guests.
Therefore, a + c ≤ 150...(ii)
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The area of ground A is given by 12x^2y sq. units and the area of ground B is given by 6xy^2sq Units
where x>0 and y> 0. Tiles of the same size need to be installed on both the grounds. What should
be the maximum tile area so that it can be used for both the grounds?
The maximum area of the tile to contain both grounds is 12x²y²
How to determine the maximum area of the tile?From the question, we have the following parameters that can be used in our computation:
Area of ground A = 12x^2y sq. units
Area of ground B = 6xy^2sq units
Rewrite these areas properly
So, we have the following representation
Area of ground A = 12x²y sq. units
Area of ground B = 6xy² sq units
Express the areas as the products of their prime factors
This gives
Area of ground A = 2 * 2 * 3 * x * x * y
Area of ground B = 2 * 3 * x * y * y
From the above products, we have
Least common multiple = 2 * 2 * 3 * x * x *y * y
Evaluate the products
Least common multiple = 12x²y²
This represents the greatest area
Hence, the greatest area is 12x²y²
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A _______ is a set of input data in a relationship
The complete answer: A domain is a set of input data in a relationship.
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
An input value and an output value are matched in a relation.
A relation is a function where each input value yields one and only one output value.
Graphs, tables, and ordered pairs can all be used to represent functions. The domain is the set of input values,
while the range is the set of output values.
The domain of a function or relation is the set of all possible independent values that it can have.
Therefore, a domain is a set of input data in a relationship.
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emily surveyed all the students at her school to find out if they plan to attend college. the results are shown in the two-way frequency table. emily knows that the student body at her high school is distributed as follows: freshmen: 28% sophomores: 26% juniors: 24% seniors: 22% according to the information emily has gathered, which of the following statements are true? choose all that are correct. responses more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 40% of the students at the school are freshmen or sophomores who plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. more than 10% of the students at the school are juniors or seniors who do not plan to attend college. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student who plans to attend college is selected at random, the probability that he or she is a senior is 0.1804. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15. if a student at the high school is selected at random, the probability that he or she is a freshman who does not plan to attend college is 0.15.
The following statements are true are more than 40% of the students at the school are freshmen or sophomores who plan to attend college.
Given :
emily surveyed all the students at her school to find out if they plan to attend college. the results are shown in the two-way frequency table. emily knows that the student body at her high school is distributed as follows: freshmen: 28 % sophomores: 26 % juniors: 24 % seniors: 22 % .
Freshmen = 0.85
sophomores = 0.80
it is clearly visible that the freshmen or sophomores is greater than the 40 % .
Hence , more than 40% of the students at the school are freshmen or sophomores who plan to attend college.
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which are prime polynomials
-12f+21
f-36
-3f-23
5f+10
Answer:
f - 36
-3f - 23
are your prime polynomials.
A scientist began measuring the temperature of a solution when it was 100 °F. The temperature of the solution
decreased at a constant rate of 1.5 °F per hour.
Which function can be used to find y, the temperature of the solution in degrees Fahrenheit after x hours?
Ay 1.5x - 100
By 1.5x + 100
y 100x1.5
Oy - 100x + 1.5
Conditional problems are problems that involve one or more conditions that must be met in order for a certain action to be taken or a certain result to be obtained. The temperature of the solution in degrees Fahrenheit after x hours, is y = 1.5x - 100.
The required details for Conditional problems in given paragraph
This function models the temperature of the solution as it decreases at a constant rate of 1.5 °F per hour. The initial temperature of the solution is 100 °F, and the temperature decreases by 1.5 °F for each hour that passes. Therefore, the temperature of the solution after x hours can be found by subtracting 1.5x degrees from the initial temperature of 100 degrees.
For example, if we plug in x = 2 into the function, we get y = 1.5 * 2 - 100 = 3 - 100 = -97, which means that the temperature of the solution after 2 hours is -97 °F.
The other options listed are not correct because they do not correctly model the temperature of the solution as it decreases at a constant rate of 1.5 °F per hour. Option A is incorrect because it adds 1.5x degrees to the initial temperature, rather than subtracting it. Option B is incorrect because it adds 100 degrees to the temperature, rather than subtracting it. Option C is incorrect because it multiplies the initial temperature by 1.5x, rather than subtracting 1.5x degrees from it. Option D is incorrect because it adds 1.5 to the temperature, rather than subtracting 1.5x degrees from it.
what are conditional problems?
Conditional problems are often expressed using words like "if," "then," or "when." For example, a conditional problem might involve finding the value of a variable x if it satisfies a certain condition, such as "If x is greater than 5, then x is even." In this case, the problem specifies that x must be greater than 5 in order for it to be even.
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Which best describes the graph of
f(x) = log₂(x + 3) + 2 as a transformation of the
graph of g(x) = log₂x?
A translation 3 units left and 2 units up best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x
How to solve this problem?
f(x) = log2(x + 3) + 2 (given)
g(x) = log2x (given)
We need to describe the best statement for the graph
The graph is shown in the image
The following steps are shown to describe the graph.
The general equation of f(x) = log2(x-h)+k
When h > 0 (positive)
The graph of the base of the function shift to the right
When h < 0 (Negative)
The graph of the base function shifts to the left.
When k > 0 (Positive)
The graph of the base function shifts upward.
When k < 0 (Negative)
The graph of the base function shifts downward
Here h = 3 , k = 2
Hence , a translation 3 units left and 2 units up describes the graph.
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City A is located in a valley 15 meters below sea level, and City B is located *
43 meters above sea level. What is the difference, in meters, between the
elevations of these two cities? Remember, difference means subtract (and
you will need to SCO).
Answer:
To find the difference between the elevations of City A and City B, we need to subtract the elevation of City A from the elevation of City B. Since City A is located 15 meters below sea level, and City B is located 43 meters above sea level, the difference between their elevations is $43 - (-15) = 43 + 15 = 58 meters. Therefore, the difference between the elevations of City A and City B is 58 meters.
The area of a rectangle is given by the function A(x) = 2x3 + 6x2 + 5x + 15. If the length is defined by x + 3, what is the width of the rectangle?
Answer:
2x² +5
Step-by-step explanation:
You want the width of a rectangle with a length of x+3 and an area of A(x) = 2x³ +6x² +5x +15.
AreaThe area is the product of length and width, so the width will be ...
A = LW
W = A/L = (2x³ +6x² +5x +15)/(x +3)
The cubic expression can be factored by grouping, so we have ...
Area = (2x³ +6x²) +(5x +15)
= 2x²(x +3) +5(x +3)
= (2x² +5)(x +3)
Then the width is ...
[tex]\text{width}=\dfrac{(x+3)(2x^2+5)}{x+3}=\boxed{2x^2+5}[/tex]
The width of the rectangle is 2x² +5.
<95141404393>
Solve for x. Triangle stuff
Answer:
x=9
Step-by-step explanation:
these 2 angles are supplementary angles meaning added together they will equal 180 degrees
so we can add them together and set it equal to 180
(8x-3)+(16x-33)=180
combine like terms
(8x+16x)+(-3-33)=180
24x-36=180
+36. +36
24x=216
/24. /24
x=9
hopes this helps
Given a binomial experiment with the probability of success on a single trial p = 0.80, find the probability that the first success occurs on trial number n = 3. (Round your answer to three decimal places.)
The probability that the first success occurs on trial number n = 3 is 0.032
How to find the probability that the first success occurs on trial number n = 3?Given:
probability of success on a single trial p = 0.80
trial number, n = 3
Recall the formula for the Geometric Probability Distribution
P(n) = p(1 - p)ⁿ⁻¹
where n is the number of the binomial trial on which the first success occurs and p is the probability of success on each trial
P(n) = p(1 - p)ⁿ⁻¹
P(3) = 0.8(1-0.8)³⁻¹
P(3) = 0.8(0.2)²
P(3) = 0.032
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What is the scale factor from the drawing to the actual billboard?
The scale factor is ?
10 inches is the scale factor from the drawing to the actual billboard
What is a Scale Factor?A scale factor is a ratio of change from a drawing to real life. Typically, a scale factor is unit-less; a scale factor of 48 (or 1:48) is saying that for one unit on the page, it represents 48 of the same units in real life.
A scale factor is the ratio between corresponding measurements of an object and a representation of that object.
How to do scale drawing?Scale drawings show an image either reduced or enlarged in size. The change between the original and the scaled drawing is generally represented by two numbers separated by a colon, like 10:1 (read as “ten to one”).
The difference between the ratio numbers represents the factor by which the scaled image is enlarged or reduced. So for a 10:1 scale ratio, a 1 inch (2.5 cm) drawing will be 10 inches (25 cm) in real life.
Methods are as follows :
Adjusting Image Size by Hand- Measure the object you’ll be scaling.Choose a ratio for your scaled drawing.Convert the actual measurements with the ratio.Start drawing the perimeter with a straight segment when possible. - Refer to the original drawing frequently.Use a piece of string to check the scaled lengths of irregular images.Add details after finishing the perimeter.Changing Scale Digitally-
Scan the image or snap a pic of it with your phone.
Insert the image into a suitable program or app.
Navigate to the image layout options.
Adjust the height and width under the “Scale” heading.
Save the scaled image and you’re done.
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Find f(x) where f'(x)=4x+7
Answer:
[tex]2x^2+7x+C[/tex]
Step-by-step explanation:
Find the antiderivative of f'(x)=4x+7
[tex]\frac{4x^{1+1} }{1+1}+7x+C\\\frac{4x^2}{2}+7x+C\\ 2x^2+7x+C\\[/tex]
What values of x make the two expressions below equal?
(x-1)(x-6)_
4(x-1)
x-6
4
A. All real numbers except 1
B. All real numbers except 6
C. All real numbers
D. All real numbers except 1 and 6
All the real numbers except 1 make the two expressions equal. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expressions are given below.
[(x - 1)(x - 6)] / [4(x - 1)] and (x - 6) / 4
Simplify the expression [(x - 1)(x - 6)] / [4(x - 1)], then we have
⇒ [(x - 1)(x - 6)] / [4(x - 1)]
⇒ (x - 6) / 4
But at x = 1, the expression [(x - 1)(x - 6)] / [4(x - 1)] is not defined.
All the real numbers except 1 make the two expressions equal. Then the correct option is A.
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let $f(x)$ be a polynomial with integer coefficients. suppose there are four distinct integers $p,q,r,s$ such that $$f(p)
The smallest possible value of f ( t ) = 9 based on the values of p , q , r , s.
Given :
Let f ( x ) be a polynomial with integer coefficients. Suppose there are four distinct integers p , q , r , s such that f ( p ) = f ( q ) = f ( r ) =f ( s ) = 5. If t is an integer and f ( t ) > 5,
Let g(x) = f(x) − 5.
g(x) = (x−p)(x−q)(x−r)(x−s)h(x)
The condition f(t) > 5 translates to g(t) > 0.
Since p,q,r,s,t are distinct integers, the smallest possible positive value of (t−p)(t−q)(t−r)(t−s) is 4 :
the four numbers in the parentheses are all distinct integers ≠ 0, so the smallest value we can get from the product (−2)⋅(−1)⋅1⋅2. }
The smallest possible positive value of h(t) is 1, since we must have g(t)≠0.
Thus the smallest possible value of g(t) is 4, and therefore the smallest possible value of f(t) is 9, and it is achieved for t=2 if we have
f(x)=x(x−1)(x−3)(x−4)+5
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Full question ;
Let f(x) be a polynomial with integer coefficients. Suppose there are four distinct integers p,q,r,s such that f(p)=f(q)=f(r)=f(s)=5. If t is an integer and f(t)>5, what is the smallest possible value of f(t)?
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 414 gram setting. Based on a 8 bag sample where the mean is 407 grams and the standard deviation is 18, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal.
Step 1 of 5:
State the null and alternative hypotheses.
Step 2 of 5:
Find the value of the test statistic. Round your answer to three decimal places.
Step 3 of 5:
Specify if the test is one-tailed or two-tailed.
Step 4 of 5:
Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Step 5 of 5:
Make the decision to reject or fail to reject the null hypothesis.
Question #2:
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 26 samples is 4.6 ppm with a standard deviation of 1.2. Does the data support the claim at the 0.025 level? Assume the population distribution is approximately normal.
Step 1 of 5:
State the null and alternative hypotheses.
Step 2 of 5:
Find the value of the test statistic. Round your answer to three decimal places.
Step 3 of 5:
Specify if the test is one-tailed or two-tailed.
Step 4 of 5:
Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Step 5 of 5:
Make the decision to reject or fail to reject the null hypothesis.
A)
A manufacturer of banana chips would like to know whether its bag-filling machine works correctly at the 414-gram setting.
So, Null hypothesis: [tex]H_{0}[/tex] : μ < 414
It is believed that the machine is underfilling the bags.
So, Alternate hypothesis: [tex]H_{1}[/tex] : μ < 414
Given,
n= 8
Population standard deviation (б) = 18
x= 407
We will use the t-test since n > 8 and we are given the population standard deviation.
t=x-μ / (б/[tex]\sqrt{n-1}[/tex])
t= [tex]\frac{407-414}{\frac{18}{\sqrt{7} } }[/tex]
t= -1.028
Use the t table to find p value
p-value = 12.706
Level of significance α = 0.025
p-value>α
It is a two-tailed test.
So, we fail to reject the null hypothesis.
So, its bag-filling machine works correctly at the 414-gram setting.
B)
Let μ be the population mean amount of ozone in the upper atmosphere.
As per the given, we have
[tex]H_{0}[/tex] : μ = 4.8
[tex]H_{1}[/tex] : μ ≠ 4.8
Sample size: n= 26
Sample mean = 4.6
Standard deviation = 1.2
Since population standard deviation is now given, so we use a t-test.
t= [tex]\frac{4.6-4.8}{\frac{1.2}{\sqrt{25} } }[/tex]
t= -0.2/0.24
t= -0.833
It is a two-tailed test.
We are accepting the null hypothesis.
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Sydney went to the store and bought candy that was priced according to the weight in pounds. She purchased 2 1/4 pounds of black licorice, 1 7/8 pounds of red licorice, and 1 1/2 pounds of butterscotch candy. if the candy costs $ 4.00 per pound, how much did Sydney spend on candy?
Answer:
$22.50
Step-by-step explanation:
Find the volume of a cone with a radius of 3 feet and a height of 7 feet. Enter
the answer in terms of pie
-x+y≤-1
x + 2y ≥ 4
Graph the system of inequalities.
Answer:
Step-by-step explanation:
[tex]-x+y\leq -1\\x-y\geq 1\\x+2y\geq 4[/tex]
dark blue is the required region.
Find X, 50 points if you answer
Answer:
x=38
Step-by-step explanation:
linear par
180-134=46
180-84=96
sum of a triangle is 180
96+46+x=180
142+x=180
x=180-142
x=38
Can anyone solve I need help urgent thank you
Answer:
Step-by-step explanation:
3.14 x 3=9.42
your ultra modern store is one story round. your square footage is 31,415. what is your he diameter of your store? area of a circle =
The solution is D = 200 feet
The diameter of the circular store is = 200 feet
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the diameter of the circle be represented as = D
Let the radius of the circular store be = r
D = 2r
Now , the area of the circular store be = A
The value of A = 31,415 feet²
The area of the circular store is given by the formula
Area of the circle = πr²
Substituting the values in the equation , we get
31415 = 3.1415 x r²
Divide by 3.1415 on both sides of the equation , we get
r² = 10000
Taking square roots on both sides of the equation , we get
r = 100 feet
Now , the diameter of the store = 2 x radius of the store
Diameter of the store D = 2 x 100 feet
Therefore , diameter of the store D = 200 feet
Hence , The diameter of the circular store is = 200 feet
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Find the x and y intercepts of the line: 3x - 4y = -24
Answer:
x- intercept = - 8 , y- intercept = 6
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
3x - 4(0) = - 24
3x = - 24 ( divide both sides by 3 )
x = - 8 ← x- intercept
to find the y- intercept let x = 0 in the equation and solve for y
3(0) - 4y = - 24
- 4y = - 24 ( divide both sides by - 4 )
y = 6 ← y- intercept
Rosa makes candles to sell.
Each candle is in the shape of a cuboid of height 8 cm.
The base of each candle is a square of perimeter 20 cm.
Rosa needs to know the volume of one candle.
Work out the volume of one candle.
Remember to give units with your answer
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2. (Let x, y, and z be the dimensions of the rectangular box.)(x, y, z) =
The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
Given that:
Total surface area of the rectangular box or cuboid = 100 cm²
A rectangular box with largest volume is a cube.
The total surface area of a cube = 6 times square of one edge length.
Let the edge length = given dimensions; x, y, z
So,
x = y = z
6x^2 = 100
x^2 = 100 / 6
x = √ 100 / 6
x = 10 / √ 6 cm
x = 2.449 cm
Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.
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Write the equation of the line that has the slope of 7/3
and goes through the point (7,-9) in standard form.
****
The equation of the line that has the slope of 7/3 is: y = (7/3) x - 27/49
What is equation of the line?Finding the slope and y-intercept is necessary to express the equation of a graphed line in y-intercept (y=mx+c) form, which can then be used to get the equation of the line. The ratio of y to x is known as the slope. A slope triangle should be drawn connecting any two spots you find along the line.
Standard form, slope-intercept form, and point-slope form are the three main types of linear equations.
Given that,
slope (m) = 7/3
Putting (7,-9) into the equation: y =mx+c
or, -9 = (7/3) × (7) + c
or, -9 = 49 /3 + c
or, c = (-9) × (3/49)
or, c = -27/49
Thus, the equation becomes:
or, y = (7/3) x + -27/49
or, y = (7/3) x - 27/49
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10. In a class, % of the students are girls. % of the boys and % of the girls can swim.
(a) What percentage of students are boys? (b)What fraction of the students in the class can
swim
Please I'm in hurry help me
Answer:
I cant see numbers sorry. post question again
The question is unclear.
Select all of the lines of reflection that will carry the rectangle back onto itself.
The lines that carry the rectangle onto itself are x = 0 and y = 1
How to determine the lines that carry the rectangle onto itself?The graph that completes the question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The rectangular graph
The coordinates of one end of the graph are
(-3, 3) and (-3, -1)
Next, we calculate the midpoint of these ends
So, we have
Midpoint = 1/2(x₁ + x₂, y₁ + y₂)
Substitute the known values in the above equation, so, we have the following representation
Midpoint = 1/2(-3 + 3, -1 + 3)
Evaluate the like terms
Midpoint = 1/2(0, 2)
So, we have
Midpoint = (0, 1)
So, we have
x = 0 and y = 1
Hence, the reflection lines are x = 0 and y = 1
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NO LINKS!! Please help me with this problem. Part 8ff
Answer:
[tex]\dfrac{1}{36n^2+6n}[/tex]
Step-by-step explanation:
Given factorial expression:
[tex]\dfrac{(6n-1)!}{(6n+1)!}[/tex]
[tex]\boxed{\begin{minipage}{6cm}\underline{Factorial Rule}\\\\$n!=\:n\cdot \left(n-1\right) \cdot \left(n-2\right) \cdot ... \cdot 3 \cdot 2\cdot 1$\\ \end{minipage}}[/tex]
Apply the factorial rule to the numerator and denominator of the given rational factorial expression:
[tex](6n-1)!=\left(6n-1\right)\cdot \left(6n-2\right)\cdot \left(6n-3\right)\cdot... \cdot 3 \cdot 2\cdot 1[/tex]
[tex]\left(6n+1\right)!=\left(6n+1\right)\cdot \:6n \cdot (6n-1) \cdot...\cdot 3 \cdot 2\cdot 1[/tex]
Therefore:
[tex]\begin{aligned}\implies \dfrac{(6n-1)!}{(6n+1)!}&=\dfrac{\left(6n-1\right)\cdot \left(6n-2\right)\cdot \left(6n-3\right)\cdot... \cdot 3 \cdot 2\cdot 1}{\left(6n+1\right)\cdot \:6n \cdot (6n-1) \cdot...\cdot 3 \cdot 2\cdot 1}\\\\&=\dfrac{1}{(6n+1) \cdot 6n}\\\\&=\dfrac{1}{6n(6n+1)}\\\\&=\dfrac{1}{36n^2+6n}\end{aligned}[/tex]
Answer:
[tex]\cfrac{1}{6n(6n+1)}[/tex]--------------------------------
We know that:
n! = 1·2·3·4·...·nTherefore:
(6n + 1)! = (6n - 1)!·6n·(6n + 1)Therefore:
[tex]\cfrac{(6n-1)!}{(6n+1)!} =\cfrac{(6n-1)!}{(6n-1)!(6n)(6n+1)} =\cfrac{1}{6n(6n+1)}[/tex]10 -8 -6 -4
| 10+
8
67
-2
4.2
-2
-4-
-6
-8
-10
2
4 6 8 10
Write an equation for the graph, where y depends on x.
The equation of given graph is y = 2x + 6.
What is equation of line?
The formula for a straight line is y = mx + c where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.
Given:
The graph of the line is given.
From graph we have to find the equation of line.
Let the graph passes through the points (0, 6) and (2, 10).
From these two points to find the slope.
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here, [tex](x_1, y_1) = (0, 6), (x_2, y_2) = (2, 10)[/tex]
⇒ Slope = m = [tex]\frac{10-6}{2-0}= \frac{4}{2} = 2[/tex]
So, the slope is 2.
Now to find the equation of line.
Consider, the point - slope form of the line,
[tex]y-y_1=m(x-x_1)[/tex]
Plug [tex]m = 2, (x_1, y_1) = (0, 6)[/tex]
⇒
[tex]y-6=2(x-0)\\y-6=2x\\y=2x+6[/tex]
Hence, the equation of given graph is y = 2x + 6.
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