Find the equation of the line shown.

Find The Equation Of The Line Shown.

Answers

Answer 1

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{4}x+2}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1;\ y_1);\ (x_2;\ y_)[/tex] - points on the line

From the graph we have two points (look at the picture)

[tex](4;\ 1)[/tex] and [tex](0; 2)\to b=2[/tex]

Calculate the slope:

[tex]m=\dfrac{2-1}{0-4}=\dfrac{1}{-4}=-\dfrac{1}{4}[/tex]

Put the values of [tex]m[/tex] and [tex]b[/tex] to the equation of a line:

[tex]y=-\dfrac{1}{4}x+2[tex]

Find The Equation Of The Line Shown.

Related Questions

I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR

Answers

Answer: the first one would be 31.65

Step-by-step explanation:

First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655

For the third one x will equal 44.41

Which is the sum of -4 and its additive inverse?

Answers

Answer:

-4 +4 =0

Step-by-step explanation:

The sum of a number and its' additive inverse is 0

The additive inverse of -4 is 4

-4 +4 =0

Explain how to find the distance between two integers using the difference

Answers

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.

Answer:

When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.

Step-by-step explanation:

edge 2021

Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?

Answers

Answer: kim made $6,900 in commission for selling the house

Step-by-step explanation:i took the test

idk how to do math ​

Answers

that's why we have the beautiful internet

What are the like terms you must combine first? 4(x + 3) – 2x + 8 = 28​

Answers

Answer:

the answer is x = 4

Step-by-step explanation:

first you wanna subtract 8 from both sides

then it should look like this...  [tex]4\left(x+3\right)-2x=20[/tex]

then this... 2x+12=20

next you need to subtract 12 from both sides

then it'll look like this 2x=8

then this... [tex]\frac{2x}{2}=\frac{8}{2}[/tex]

lastly your gonna simplify it and and your answer will be...

x = 4

hope this helps :)

A 2-month membership to the gym costs $125. Jim would like to be a member for 8
months. What is the total amount he will pay for 8
months?

Answers

Answer:teps:

125 divided by 2 (to find the cost for one month) ans: $62.50

Then you multiply $62.50 times 8 to find the total cost for 8 months ans: $500.00

I hope this helpe

Step-by-step explanation:

Answer:

500 dollars for eight months

Find the value of W please help due tomorrow

Answers

Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

Translate each inequality. Do not solve.
"Seven more than three-fourths of a number is 31

Please help:(

Answers

We will call our unknown number ‘x’.

(3/4)x + 7 = 31

That is the answer.

217 is what percent of 775​

Answers

Answer:

28 percent

Step-by-step explanation:

you divide 217 by 775 and you get 0.28

Answer:

The answer is 28%

Step-by-step explanation:

217:775*100 =

(217*100):775 =

21700:775 = 28

217 percentage of 775 = 28.

               Yw Have A Wonderful Day !! :)

slope = -2. y-intercept: (0, 0)
in slope intercept form

Answers

y=-2x because the formula for slope intercept form is y=mx+b and m is gonna be the slope, -2, and then b is going to be the y intercept, which is 0 in this particular situation. so your answer is y=-2x because your y intercept is 0

Based on the graph of the function y=g(x) shown below, answer the following questions.a) Evaluate each of the following.Illustrate with a point graph.
g(-2)= g(0)=
g(3)= g(7)=
(b) What values of x solve the equation g(x)=0? These are called the zeros of the function

(c)How many values of x solve the equation g(x)=2? How many can you illustrate your answer on the graph?

Answers

a. g(-2)=-3. g(0)=-3
g(3)=4. g(7)=0
b. -3,1,5,7
c. 4 values can solve it

The value of a function is its point on the graph that corresponds to the value of the input variable.

[tex]g(-2) = g(0) = -3[/tex]       [tex]g(3) = 4[/tex]       [tex]g(7) = 0[/tex].The values of x when g(x) = 0 are -3, 1, 5 and 74 values of x solve g(x) = 2

Given that:

[tex]y = g(x)[/tex]

(a) g(-2), g(0), g(3) and g(7)

From the graph, we have:

[tex]g(-2) = -3[/tex]

[tex]g(0) = -3[/tex]

[tex]g(3) = 4[/tex]

[tex]g(7) = 0[/tex]

So, we have:

[tex]g(-2) = g(0) = -3[/tex]

[tex]g(3) = 4[/tex]

[tex]g(7) = 0[/tex]

(b) The values of x when g(x) = 0

These are the points where the graph crosses the x-axis.

The graph crosses the x-axis at: x = -3, 1, 5 and 7

Hence, the values of x are: -3, 1, 5 and 7

(c) The count of values of x for g(x) = 2

This is the number of times the graph passes g(x) = 2

The graph passes g(x) = 2, 4 times.

Hence, 4 values of x solve g(x) = 2

Read more about graphs and functions at:

https://brainly.com/question/18806107

The graph of y = f(x) is shown below. Find all values of x where f(x) = -5.

Picture of graph is there
40 points casue I need this answer

Answers

An x-intercept is a point where a parabola crosses the x-axis and is also known as a zero, root, or solution. Some quadratic functions cross the x-axis twice while others only cross the x-axis once, but this tutorial focuses on quadratic functions that never crosses the x-axis.

The best way to find out whether or not the parabola created by a quadratic formula crosses the x-axis is by graphing the quadratic function, but this is not always possible, so one might have to apply the quadratic formula to solve for x and find a real number where the resulting graph would cross that axis.

The quadratic function is a master class in applying the order of operations, and although the multistep process may seem tedious, it is the most consistent method of finding the x-intercepts. The easiest way to interpret quadratic functions is to break it down and simplify it into its parent function. This way, one can easily determine the values needed for the quadratic formula method of calculating x-intercepts. Remember that the quadratic formula states:


x = [-b +- √(b2 - 4ac)] / 2a
This can be read as x equals negative b plus or minus the square root of b squared minus four times ac over two a. ​The quadratic parent function, on the other hand, reads:


y = ax2 + bx + c
This formula can then be used in an example equation where we want to discover the x-intercept. Take, for instance, the quadratic function y = 2x2 + 40x + 202, and try to apply the quadratic parent function to solve for the x-intercepts. In order to properly solve this equation and simplify it down using the quadratic formula, you must first determine the values of a, b, and c in the formula you’re observing. Comparing it to the quadratic parent function, we can see that a is equal to 2, b is equal to 40, and c is equal to 202.

Next, we’ll need to plug this into the quadratic formula in order to simplify the equation and solve for x. These numbers in the quadratic formula would look something like this:


x = [-40 +- √(402 - 4(2)(202))] / 2(40) or x = (-40 +- √-16) / 80
In order to simplify this, we’ll need to realize a little something about mathematics and algebra first. In order to simplify the above equation, one would have to be able to solve for the square root of -16, which is an imaginary number that does not exist within the world of Algebra. Since the square root of -16 is not a real number and all x-intercepts are by definition real numbers, we can determine that this particular function does not have a real x-intercept.

To check this, plug it into a graphing calculator and witness how the parabola curves upwards and intersects with the y-axis, but does not intercept with the x-axis as it exists above the axis entirely.

The answer to the question “what are the x-intercepts of y = 2x2 + 40x + 202?” can either be phrased as “no real solutions” or “no x-intercepts,” because in the case of Algebra, both are true statements.

A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost

Answers

Answer:

$49.12

Step-by-step explanation:

Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.

Answers

Answer:1,2,4,6

Step-by-step explanation:

I just finished this assignment!!! Good luck and God bless.

7(3x+-9) what is the answer

Answers

Answer: 21x - 63

explanation:

Answer:

21x-63

Step-by-step explanation:

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Please help me to figure this picture out, what is this mean

Answers

Answer:

Wallows is an American alternative rock band based in Los Angeles composed of Dylan Minnette, Braeden Lemasters, and Cole Preston. The band began releasing songs independently in April 2017 starting with "Pleaser", which reached number two on the Spotify Global Viral 50 chart.

Philip’s meal costs $12.82 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?​

Answers

Answer:

$2.56

Step-by-step explanation:

If you multiply 12.82 by .20, you would get 2.564. Then you just round it up and the answer you get is $2.56. Hope this helps!

Put them in order from least to greatest -1,-3,4,0,0.5,-1.5,2,-0.5,1,2

Answers

Answer:

-4,-3, -1,-1.5,-0.5, 0, 0.5,1,2,2,4

Good Luck!!!

Can please someone help with this im have troubles to solve this

Answers

Answer:

f(4)=3(4)+2

=12+2

=14

f(-2)=3(-2)+2

=-6+2

= -4

POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
<
1 2 3
4
5
6
ET Review

Answers

18.344 should be right. Have a good day!

Find the slope of the line that contains (−9, 1) and (3, 6).

Answers

Answer:

5/12

Step-by-step explanation:

slope is  [tex]\frac{1y-2y}{1x-2x}[/tex]

so [tex]\frac{6 - 1}{3 - (-9)}[/tex] and that is 5/12

Please mark brainliest!!! Thanks.

8
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the
account.
What was the balance in Juan's investment account after 3 years?
F $101.25
G $559.03
H $109.03
J $551.25

Answers

Answer:

J $551.25

Step-by-step explanation:

Step one:

given data

principal= $450

rate= 7.5%= 0.075

time = 3 years.

Step two:

the simple interest formula is

A=P(1+rt)

Substituting we have

A=450(1+0.075*3)

A=450(1+0.225)

A=450(1.225)

A=551.25

The answer is $551.25

Mr. Gonzalez joined a gym that had an initial membership fee of $199 and a monthly cost of $35. How
many months would he have been a member if he paid a total of $829?

Answers

Answer:

sorry

Step-by-step explanation:

Zoe plants a sunflower seed and
tracks its growth. The seedling
measures 3.71 inches after the
first month. If Zoe’s plant grows
3.71 inches each month for 12
months, how many inches tall will
it be at the end of one year?

Answers

Answer:

44.52 inches

Step-by-step explanation:

If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.

PLEASE HELP ME ASAP THIS A MODULE TEST PLS PLS PLS
Bianca has a part-time job mowing lawns for her neighbors. The table below shows the amount of money Bianca earned for different numbers of hours of work:

Number of Hours Worked ║Money Earned (dollars)
Bianca's Earnings from Lawn Mowing

4 60
6 90
8 __
105

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Bianca also walks her neighbors' dogs from time to time. The ratio of the number of hours Bianca walks dogs to the money she earns in dollars is 1:8. How much money will Bianca earn by walking dogs for 4 hours, 6 hours, and 8 hours? (3 points)

Part C: How many more dollars does Bianca earn mowing lawns for 5 hours than walking dogs for 5 hours? Show your work. (3 points)

Answers

Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35

Step-by-step explanation:look up

Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)​

Answers

Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!

Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5

Answers

Answer:

0+5=5

Step-by-step explanation: If u add nothing then it stays like that

Answer:

5

Explanation:

I'm a goat so I know everything

I give Brainliest!!!
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle.
a=
Side BC=
Side AC=
Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as
Triangle ABC:

Answers

Answer:

Part 1)

a=3; BC=10; AC=10

Part 2)

Isosceles Triangle

Step-by-step explanation:

Part 1)

We know that AC=BC.

Therefore, their lengths are equivalent.

So, we can write the following equation:

[tex]6a-8=4a-2[/tex]

Let’s solve for a. Subtract 4a from both sides:

[tex]2a-8=-2[/tex]

Add 8 to both sides:

[tex]2a=6[/tex]

Divide both sides by 2. Therefore, the value of a is:

[tex]a=3[/tex]

Now, we can substitute the value back to find AC and BC.

For AC, we have:

[tex]AC=6a-8\\[/tex]

Substitute 3 for a:

[tex]AC=6(3)-8=18-8=10[/tex]

So, the value of AC is 10.

For BC, we have:

[tex]BC=4a-2[/tex]

Substitute 3 for a:

[tex]BC=4(3)-2=12-2=10[/tex]

Therefore, both AC and BC measure 10 units, which was expected.

Part 2)

Remember that:

A triangle is scalene if all three of its sides are different. A triangle is isosceles if two of its sides are equal. And a triangle is equilateral when all of its sides are equal.

We know that AC is equal to BC. So, two sides are equal.

We don’t know anything about AB. AB could or could not be equal.

Therefore, the best answer is that Triangle ABC is an isosceles triangle.

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