Question

Find the equation of the linear function represented by the table below in slope-

intercept form.

Answer 1

`y = x +2`

Explanation:

Given

The attached table

Required

Determine the equation

First, calculate the slope (m)

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

Where

`(x_1,y_1) = (-3,-1)`

`(x_2,y_2) = (1,3)`

So, we have:

`m = (3 - (-1))/(1 - (-3))`

`m = (3 +1)/(1 +3)`

`m = (4)/(4)`

`m =1`

The equation in slope intercept form is calculated using

`y = m(x - x_1) + y_1`

This gives:

`y = 1(x - (-3)) -1`

`y = 1(x +3) -1`

`y = x +3 -1`

`y = x +2`