What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).

Answers

Answer 1

Answer:

slope is 4 and y-intercept is 12

Step-by-step explanation:

To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.

Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:

0 = 4 * (-3) + b

0 = -12 + b

b = 12

Then the slope is 4 and the y-intercept is 12.

Answer 2

Answer:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]

4 is the slope

now we have to plug in the slope intercept formula where m is 4

you can find b by plugging one of the points

I choose (-3,0) since it is easier to work with

0 = 4(-3) + b

0 = -12 + b

12 = b

Our y intercept is 12

finally the slope intercept form is

y = 4x + 12

Slope formula - (y2 - y1)/ (x2-x1)

Slope intercept form = y = mx + b

Step-by-step explanation:


Related Questions


If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?

Answers

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

math question down below screen shot

Answers

Answer:

the screen shoy isnt showing up

Step-by-step explanation:

Determine whether the given point (2, -2) lies on the line 3x – y = 4.

Answers

Answer:

Step-by-step explanation:

3(2) + 2 = 4

6 + 2 = 4

8 is not equal to 4

Therefore (2,-2) does not equal

X = ________ ft. (No guessing please)

Answers

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

The answer would be x=12 :)

Plzz help me its is math

Answers

Answer:

A

Step-by-step explanation:

Whenever you square a real number, the result will always be positive, because even if you are squaring a negative number a negative times a negative is a positive. However, when you cube a negative number, the result CAN be negative, because you are multiplying a negative number by itself three times. Therefore, the answer is only A. Hope this helps!

Identify the x and y intercept.


A. x intercept: (2,0) y intercept: (0,-3)


B. x intercept: (-3,0) y intercept: (0,2)


C. x intercept: (2-3) y intercept: (2,-3)


D. x intercept: (2,-3) y intercept: (-3,2)

Answers

Answer:

Bro write the question better

Step-by-step explanation:

A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.

You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased

Answers

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

($500 x 1/2000) + ($50 x 2/2000) - $2

$0.25 + $0.05 - $2

-$1.70

Explain how to use a graph of the function f(x) to
find f(3).

Answers

look at the graph at which x=3, then look and see what value y is and that will give you f(3).

Answer:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

up there

Estimate the square root to the nearest (a) integer and (b) tenth.

√-335/2

Answers

I had the same question on my homework.

Answers:

a) -13

b) -12.9

Solve for K: 40 + K = 56
K=

Answers

Answer:

k=16

Step-by-step explanation:

To solve this, we can isolate k.

40+k=56.

We can do this by subracting 40 from both sides.

40+k-40=k

56-40=16

k=16

Steps for solving:

First isolate or get k by itself by subtracting 40 from both sides.

That leaves us with k = 16.

To check our answer, substitute 16 back into the equation.

So we have 40 + (16) = 56 or 56 = 56.

What is the mode of 4, 9, 9, 9, 4, 6, 6, 6, 9?

Answers

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either
team. How many of the students surveyed are fans of both th

Answers

we need the rest of the question :)

the isoceles triangle has a base that measures 14 units.the value of y, the length of each leg, must be

Answers

Answer:

greater than 7

Step-by-step explanation:

A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2

Answers

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

What is the area of the trapezoid?

Answers

Answer:

The answer is 36 squared centimeters

What percentage of temperatures are below 55 degrees

Answers

Answer:

D) 20%

Step-by-step explanation:

Answer: The answer is  B. 25%

Seth wants to cover the top of a small table with glass parallelogram tiles. The top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches, about how many tiles will he need? 26 42 63 84

Answers

Answer:

42

Step-by-step explanation:

edge 2022 :) I hope I helped a bit credit to the comment above me

The number of tiles he will need 42.

What is the area of a parallelogram?

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We are given that top of the table measures 18 inches by 14 inches. If each tile has four sides of length 3 inches with a height of 2 inches.

Area of table =  Base x Height

= 18 x 14

= 252

Area of glass parallelogram tiles = Length x width

= 3 x 2

= 6

Now,

252 = 6 x number of tiles

number of tiles = 252 / 6

= 42

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I need an answer quick!!!!

Answers

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

2/3 divided by 1 1/2

Answers

Answer: 0.4

Step-by-step explanation:

Which statement is true?

Answers

Answer:

all parallelograms are rectangles

Step-by-step explanation:

the have 2 sets of parallel lines that are equal in length

In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?

Answers

I’m not positive but do 53 times 640 and you should get the answer

A train moves at a constant speed of 8 miles every 6 minutes. How far will the train in 3 minutes, 15 minutes, and 60 minutes.

Answers

Answer: If the train moves a constant speed of 8 miles for every 6 minutes then if the time where to be 3 minutes you would have to divided 2 and 8 because the time was split in half you would also have to split the 8 as well. Now if the time was 15 minutes you would have to add more since 6 got 9 more you will have to add 9 more to 8.

6 minutes = 8 miles

3 minutes = 4 miles

15 minutes = 17 miles

Hope this helps you :3.

The train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, a train moves at a constant speed of 8 miles every 6 minutes.

That means in one minute,

= total number of miles / total time taken

= 8 /6

= 4/3 miles

Now, for 3 minutes means 3 times 4/3

= 3 x 4/3

= 4 miles

For 15 minutes,

= 15 x 4/3

= 20 miles

For 60 minute

= 60 x 4/3

= 80 miles.

Therefore, the train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

The area of the shaded area is 27 [tex]\pi[/tex]

Step-by-step explanation:

The formula for the area of a circle is :[tex]\pi *radius^2[/tex]

To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.

To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.

To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.

The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.

1) Multiply  [tex]\pi[/tex]  by 6 squared.

[tex]\pi *6^2=36\pi[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 36 [tex]\pi[/tex] by 4.

[tex]36\pi/4=9\pi[/tex]

4) Multiply 9 [tex]\pi[/tex]  by 3.

[tex]9\pi*3=27\pi[/tex]

Answer:

27 pi

Step-by-step explanation:

PLEASE HELP AGAIN, SORRY I SUCK AT MATH.

Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Please i need help my homework is really hard
.

Answers

Answer:

f' (n)=9

Step-by-step explanation:

is this what you were looking for?

Anyone know the answer to this ?

Answers

Answer:

Triangle HBN ~ triangle LYR

=> HN/LR = HB/LY

=> (3x - 7)/(x + 11) = 28/21

=> 21(3x - 7) = 28(x + 11)

=> 63x -147 = 28x + 308

=> 35x = 455

=> x = 455/35 = 13

There is no answer to select. But I still believe there is no mistake in my calculation.

Hope this helps!

:)

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.

Answers

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

What is rectangle?

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

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(Question) Write to Explain; Shauna evaluated the expression 9 - 6 + (12/3) *2 and got the answer 4 is she correct? Why or why not?

And if this helps I'll add the screenshot I took of it.

Why is she not correct or Why is she correct.

Answers

the answer is, no.. she is not correct.

she solved the equation/question incorrectly.

why? Shauna subtracted 9 - 12/3 = 5

she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

12/3 x 2= 8

add 8 and 3, which equals 11.

the correct answer is 11!

A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?

Answers

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

can someone help me please?

Answers

Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

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