# What is the slope of any line perpendicular to the line passing through (-4,10) and (2,7)?

Mar 4, 2018

$2$

#### Explanation:

Slope of line joining $\left(- 4 , 10\right) , \left(2 , 7\right)$ is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$\implies \frac{7 - 10}{2 - \left(- 4\right)}$

$\implies \frac{- 3}{2 + 4}$

$\implies \frac{{\cancel{- 3}}^{- 1}}{{\cancel{6}}^{2}}$

$\implies - \frac{1}{2}$

Slope of perpendicular line is $- \frac{1}{m}$ (where m is slope of given line) that is $- \frac{1}{- \frac{1}{2}} = 2$