Question

Anyone can help me out with this question real fast?

Answer 1

Linear equation

Explanation:

Given

The attached

Required

Determine the type of function

We start by checking for linear function

A linear function is such that:

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

The above represents the slope

For any pair of coordinate points, the slope must be constant.

We have:

`(x_1,y_1) = (-3,-16)`

`(x_2,y_2) = (-2,-13)`

The slope (m) is:

`m = (-13-(-16))/(-2-(-3))`

`m = (-13+16)/(-2+3)`

`m = (3)/(1)`

`m = 3`

Take another pair:

`(x_1,y_1) = (-1,0)`

`(x_2,y_2) = (-10,-7)`

The slope (m) is:

`m = (-7-(-10))/(0-(-1))`

`m = (-7+10)/(0+1)`

`m = (3)/(1)`

`m = 3`

The slope remains constant

Hence, it is a linear function