Question

Which equation represents the function?​

Answer 1

`y = (5)/(3)x +9`

Explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

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

Where:

`(x_1,y_1) = (-6,-1)`

`(x_2,y_2) = (0,9)`

The slope becomes:

`m = (9-(-1))/(0 - (-6))`

`m = (9+1)/(0+6)`

`m = (10)/(6)`

`m = (5)/(3)`

The equation is then calculated as:

`y - y_2 = m(x-x_2)`

So, we have:

`y - 9 = (5)/(3)(x - 0)`

`y - 9 = (5)/(3)x`

Make y the subject

`y = (5)/(3)x +9`