Given the equation 3x – 4y = 24. 3 parts a) Find two solutions to the equation. Show your work. Write your answer as coordinates.

b) Using your answers from part a, what is the slope of the given equation. Show your work.

c) Convert the given equation into slope-intercept form. Show your work.

a. (0,-6) and (8,0)

b.

c.

Step-by-step explanation:

Given

Solving (a): Two solutions

To determine the solutions of the equation, we assume values for x and y.

First: Let, x = 0

Substitute 0 for x in the equation

Divide  both sides by -4

So, one solution is (0,-6)

To determine another solution, we assume that y = 0

Substitute 0 for y in the equation

Divide both sides by 3

So, another solution is (8,0)

Solving (b): The slope of the equation

We have to get the equation in the form:

Where

Subtract 3x from both sides

Divide both sides by -4

By comparison,

Hence:

Solving (c): Slope intercept form

This has been solved in (b) above

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20. h 30 degree turn.

21. d 90 degree angles

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .