Question

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

x y
-3 -7
2 -2
7 3
12 8

Answer 1

`y=x-4`

Explanation:

the values we have are:

x y

-3 -7

2 -2

7 3

12 8

This means that the y value when x = -3 is y = -7, and the y value when x = 2 is y = -2, and so on with the rest of the table.

We can see that the y value is always 4 less than the x value:

-7 is 4 less than -3

-2 is 4 less than 2

3 is 4 less than 7

8 is 4 less than 12.

Thus, the equation of this linear function in the slope-intercept form (
`y=mx+b` ) is:

`y=x-4`