The y-intercept is (0,2.75), and it represents the pick-up fee
Let x represent the mile driven, and y represents the charges.
So, the given parameters can be represented using the following ordered pair
[tex](x,y) = \{(5,9)\ (8,12.75)\}[/tex]
Calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{12.75 - 9}{8 - 5}[/tex]
[tex]m = \frac{3.75}{3}[/tex]
[tex]m = 1.25[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = m(x -5) + 9[/tex]
Substitute 1.25 for m
[tex]y = 1.25(x -5) + 9[/tex]
Substitute 0 for x, to calculate the y-intercept
[tex]y = 1.25(0 -5) + 9[/tex]
[tex]y = -6.25 + 9[/tex]
[tex]y = 2.75[/tex]
Hence, the y-intercept is (0,2.75), and it represents the pick-up fee
Read more about y-intercepts at:
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