Answer
$y=-2x+2$
See graph
Work Step by Step
We are given the points:
$(-1,4)$
$(2,-2)$
Determine the slope of the line:
$m=\dfrac{-2-4}{2-(-1)}=\dfrac{-6}{3}=-2$
Determine the slope-intercept form of the line:
$y-(-2)=-2(x-2)$
$y+2=-2x+4$
$y=-2x+4-2$
$y=-2x+2$
Graph the line using the two points: