Question

Find the slope of a line parallel and perpendicular to the line with given coordinates: (7, -2) and (1, -3).

Answer 1

Answer:

$m=\frac{1}{6}$ (Parallel)

$m=-6$ (Perpendicular)

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in the 2 coordinates into the slope formula to find slope m:

$m=\frac{-3-(-2)}{1-7}$

$m=\frac{-3+2}{-6}$

$m=\frac{-1}{-6}$

$m=\frac{1}{6}$

A parallel line always has the same slope as the original.

$m=\frac{1}{6}$ (Original)

$m=\frac{1}{6}$ (Parallel)

A perpendicular line always has the negative reciprocal slope of the original.

$m=\frac{1}{6}$ (Original)

$m=-6$ (Perpendicular)