Since all points lie on the same line, we can use any two of them to calculate the slope of this line.
Given two points, the slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's use the first two rows. Assuming the question wants h in the x-axis and c in y-axis, we have: (0, 432) and (3, 288). So:
[tex]\begin{gathered} m=\frac{288-432}{3-0} \\ m=\frac{-144}{3} \\ m=-48 \end{gathered}[/tex]
And for the y-intercept, it is the y value for when x = 0. Since h is the x-axis, we need to look for h = 0, which is the first row. The corresponding c value is 432, which is the y-intercept.
Thus, the slope is -48 and the y-intercept is 432.
