Question

What equation represents the linear function shown in the graph? Enter your answer in the box. Write your answer in the form y = mx + b.

Answer 1

`y=-(3)/(4)x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In a direct variation the constant of proportionality k is equal to the slope m and the line passes through the origin

In this problem the line passes through the origin

therefore

The linear equation of the figure represent a direct variation

Let

`A(0,0),B(4,-3)`

Find the slope m

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(-3-0)/(4-0)`

`m=-(3)/(4)`

The equation of the line is equal to

`y=-(3)/(4)x`