Answer
$y=\frac{1}{2} x+\frac{1}{2} $
Work Step by Step
First, we find the slope as follows
$$
m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-4}{-1-7}=\frac{-4}{-8}=\frac{1}{2}
.$$
The point-slope form of a line is given as:
$$y-y_1=m(x-x_1)$$
We plug in the given point and slope and solve for $y$:
$$y-0=\frac{1}{2} (x+1)\Longrightarrow y=\frac{1}{2} x+\frac{1}{2}
.$$
