Find the slopes of the lines that are (a)parallel and (b)perpendicular to the line through the pair of points.
-(-3, -1)and (1, 7)
A)2; - $- \frac { 1 } { 2 }$
B)2; - 2
C)- 2;; $\frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$ ;; - 2

Question

Quizplus · Accepted Answer

The slope of the line through the points (-3, -1) and (1, 7) is calculated as $m = \frac{7 - (-1)}{1 - (-3)} = \frac{8}{4} = 2$. Lines parallel to this line will also have a slope of 2. The slope of lines perpendicular to this line is the negative reciprocal of 2, which is $-\frac{1}{2}$.

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