The equation of Shane's line is:
y = (1/5)*x + 10.
Which is the equation of the line?
For a line that passes through the points (x₁, y₁) and (x₂, y₂), the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In the graph, we can see that the line passes through the points (5, 11) and (10, 12), then the slope is:
[tex]a = \frac{12 - 11}{10 - 5} = 1/5[/tex]
Then our line is something like:
y = (1/5)*x + b
To find the value of b, we use the fact that our line passes through (5, 11), this means that:
11 = (1/5)*5 + b
11 = 1 + b
11 - 1 = b = 10
So the line is:
y = (1/5)*x + 10
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ2
