Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
Slope of the line = (-2 - 7) / (3 - 1) = -9 / 2
Equation of this line is
y = (-9/2) ( x - -1) + 7
y = (-9/2) ( x + 1) + 7
y = -(9/2)x - 9/2 + 14/2
y = -(9/2)x + 5/4
When x = - 6
y = -(9/2)(-6) + 5/4
y = 54/2 + 5/4
y = 113/4