Question

Find the slope perpendicular to the given points

Answer 1

as you saw on the previous posting, the slope of those points is -3/7, and any line perpendicular to it will have a negative reciprocal slope to that one.

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{7}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{7}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{7}{3}}}$

Answer 2

Answer:

perpendicular slope = $\frac{7}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (- 1, - 3)

m = $\frac{-3+6}{-1-6}$ = $\frac{3}{-7}$ = - $\frac{3}{7}$

Given slope m then the slope of a perpendicular line is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{3}{7} }$ = $\frac{7}{3}$