Answer
$y=-x+2$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b = y-intercept.
The given line has $m=-1$ and passes through the point $(-2, 4)$.
Thus, the tentative equation of the line is:
$y=-1(x)+b
\\y=-x+b$
To find the value of $b$, substitute the coordinates of $(-2, 4)$ into the tentative equation above to obtain:
$y=-x+b
\\4 = -(-2) + b
\\4 = 2 + b
\\4-2 = b
\\2=b$
Therefore, the equation of the line is:
$y=-x+2$
