Answer:
We conclude that the function
works.
The graph of the function y = 12x + 28 is also attached below.
Step-by-step explanation:
Given that the line passes through the points
Let us determine the slope between (-1, 16) and (5, 88) using the slope formula

where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case:
so subtituting (x₁, y₁) = (-1, 16) and (x₂, y₂) = (5, 88) in the slope formula


Refine

Thus, the slope of the line is: m = 12
<u>Important Tip:</u>
The slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
now substituting m = 12 and the point (-1, 16) in the slope-intercept form of the line equation


switch the equation


Add 12 to both sides

Simplify

Thus, the y-intercept of the line is: b = 28
now substituting m = 12 and b = 28 in the slope-intercept form of the line equation


Thus the equation of the line is:

or
∵ 
Hence, we conclude that the function
works.
The graph of the function y = 12x + 28 is also attached below.