Question

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

Answer 1

`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 = (y_2 - y_1) / (x_2 - x_1)`

`m = (33 - 19) / (-19 + 45) = 14 / 26 = 7/13`

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