Answer
$y=-x + 6$
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.
With $m=-1$, the tentative equation of the line is $y=-x+b$.
To find the value of $b$, substitute the x and y coordinates of the given point to have:
$y = -x + b
\\4=-2+b
\\4+2= b
\\6=b$
Thus, the equation of the line in slope-intercept form is $y=-x + 6$.
