# What is the slope of any line perpendicular to the line passing through (-3,4) and (-2,3)?

Dec 4, 2015

$1$

#### Explanation:

To find the slope of the line passing through $\left(- 3 , 4\right)$ and $\left(- 2 , 3\right)$, we can use the formula

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

which gives us

$m = \frac{4 - 3}{- 2 - \left(- 3\right)} = \frac{- 1}{1} = - 1$

To find the slope of the line perpendicular to this line we simply take the negative reciprocal of this slope:

$- \frac{1}{- 1} = 1$