Answer
$3x+y=11$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with slope $
-3
$ and passing through $(
4,-1
)$ is
\begin{array}{l}
y-(-1)=-3(x-4)
\\\\
y+1=-3x+12
\\\\
3x+y=12-1
\\\\
3x+y=11
.\end{array}