Answer:
Linear equation
Step-by-step explanation:
Given
The attached
Required
Determine the type of function
We start by checking for linear function
A linear function is such that:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The above represents the slope
For any pair of coordinate points, the slope must be constant.
We have:
[tex](x_1,y_1) = (-3,-16)[/tex]
[tex](x_2,y_2) = (-2,-13)[/tex]
The slope (m) is:
[tex]m = \frac{-13-(-16)}{-2-(-3)}[/tex]
[tex]m = \frac{-13+16}{-2+3}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m = 3[/tex]
Take another pair:
[tex](x_1,y_1) = (-1,0)[/tex]
[tex](x_2,y_2) = (-10,-7)[/tex]
The slope (m) is:
[tex]m = \frac{-7-(-10)}{0-(-1)}[/tex]
[tex]m = \frac{-7+10}{0+1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m = 3[/tex]
The slope remains constant
Hence, it is a linear function
