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

Apr 8, 2018

color(maroon)("Slope of perpendicular line " color(blue)(m_1 = -(1/m) = - (1/(-1)) = 1

#### Explanation:

Slope of a line with coordinates of two points given is

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

Given : $A \left(3 , - 4\right) , B \left(2 , - 3\right)$

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

$\text{Slope of perpendicular line } {m}_{1} = - \left(\frac{1}{m}\right) = - \frac{1}{- 1} = 1$