Answer
$y=-2x+2$
Work Step by Step
First, we find the slope as follows
$$
m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-4}{2+1}=-\frac{6}{3}=-2
.$$
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 $y$:
$$y-4=-2(x+1)\Longrightarrow y=-2x-2+4=-2x+2
.$$
