Question

What is the slope of any line perpendicular to the line passing through `(1,-2)` and `(-8,1)`?

Answer 1

The slope of the line is 3.

Explanation:

The slope of the line passing through (1,-2) and (-8,1) is = `(y_2-y_1)/(x_2-x_1)` or `(1+2)/(-8-1) = -1/3`
So the slope of the perpendicular line is `-1/(-1/3) = 3`. Since the condition of perpendicularity of two lines is product of their slopes will be equal to -1