Answer
$y=-6$
Work Step by Step
The slope of the line through the two points (x_{1},y_{1}) and (x_{2},y_{2}) is given with the formula:
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Now, we need to solve for y.
$\frac{1}{3}=\frac{-4-y}{4-(-2)}$
$\frac{1}{3}=\frac{-4-y}{6}$
Then, multiply with 6.
$2=-4-y$
$2+4=-y$
$-y=6$
$y=-6$
