Linear equations are equations that have constant rates or slopes
The equation that represents the doctor's charges is [tex]y = 15x + 20[/tex]
From the graph that represents the dentist charges, we have the following ordered pairs
(x,y) = (0,20) and (1,35)
Start by calculating the slope of the ordered pairs
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{35 - 20}{1 - 0}[/tex]
[tex]m = 15[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 15(x -0) + 20[/tex]
[tex]y = 15x + 20[/tex]
Hence, the equation that represents the doctor's charges is [tex]y = 15x + 20[/tex]
Read more about linear equations at:
https://brainly.com/question/14323743
