Find the slopes of the lines that are (a)parallel and (b)perpendicular to the line through the pair of points.
-(-4, -4)and (-2, -2)
A)1; -1
B)0; 0
C)-1; 1
D)2; - $- \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The slope of the line through the points (-4, -4) and (-2, -2) is calculated using the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{-2 - (-4)}{-2 - (-4)} = \frac{2}{2} = 1$. Lines parallel to this line will have the same slope, 1. Lines perpendicular to this line will have a slope that is the negative reciprocal of 1, which is -1.

Find the Slopes of the Lines That Are (A)parallel and (B)perpendicular