## Intermediate Algebra for College Students (7th Edition)

$y=-6$
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. $2=-4-y$ $2+4=-y$ $-y=6$ $y=-6$