Answer
F. $y=3-x$.
Work Step by Step
The given points are
$(-3,6)$ and $(4,-1)$
The slope intercept form is
$y=mx+c$
Slope $m=\frac{-1-6}{4-(-3)}=\frac{-7}{7}=-1$.
Substitute the values into the equation:
$6=-1(-3)+c$
Simplify.
$6=3+c$
Subtract $3$ from both sides.
$6-3=3+c-3$
Simplify.
$3=c$
The slope intercept form is
$y=-x+3$
or
$y=3-x$
Hence, the correct option is F.
