# What is the slope of any line perpendicular to the line passing through (-45,19) and (-19,33)?

Apr 8, 2018

color(brown)("Slope of perpendicular line " m_1 = - 1/m = -13/7

#### Explanation:

Slope of a line given coordinates of two points on it is

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

$m = \frac{33 - 19}{- 19 + 45} = \frac{14}{26} = \frac{7}{13}$

color(brown)("Slope of perpendicular line " m_1 = - 1/m = -(1/(7/13)) = -13/7