Question

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

Answer 1

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

Given : `A(3, -4), B(2, -3)`

`m = (-3 - (-4)) / (2 - 3) = -1`

`"Slope of perpendicular line " m_1 = -(1/m) = - 1/(-1) = 1`