Question

. Find the slope of a line perpendicular to the line which
passes through the pair of the following points:
(a) (0,8) and (-5,2) (b) (1, -11) and (5,2)
(C) (-k, h) and (b, -f) (d) (x, y) and (x, y)​

Answer 1

Hello

Slope of a line with two points given:

$\frac{y_2-y_1}{x_2-x_1}$

So to find slope perpendicular to it:

$m_2=\frac{-1}{m_1}$

So with this process you can get the answer.

How to use these steps:

a) (0,8) and (-5,2)

Formula usage=$\frac{2-8}{-5-0}$

=$\frac{6}{5}$

$Slope=$ $\frac{6}{5}$

∴ Slope of perpendicular line=$\frac{-1}{\frac{6}{5} }$

=$\frac{-5}{6}$

Follow the similar steps for b,c,d.