Question

The graph displays a linear function.

Answer 1

`y = -(2)/(3)x +0` OR
`y = -(2)/(3)x`

Explanation:

First, find the slope (m) using two points (0,0) and (-6, 4)

m =
`(y_2-y_1)/(x_2-x_1)`

`m=(4-0)/(-6-0) \\\\m=(4)/(-6)\\\\m=(2)/(-3)\\\\m=-(2)/(3)`

`y=mx+b`

`y = -(2)/(3)x +b`

Now, we find b using (-6, 4)

`y = -(2)/(3)x +b`

`4 = -(2)/(3)(-6) +b\\\\4 = (12)/(3) +b\\\\4 = 4 +b\\\\-4 -4\\\\0=b`

`y = -(2)/(3)x +0` OR
`y = -(2)/(3)x`

Hope this helps!