Q:

Which best describes the relationship between the line that passes through the points (–6, –1) and (–11, 1) and the line that passes through the points (–3, –8) and (–5, –13)?Please answer due by tonight Thank You

Accepted Solution

A:
The two are perpendicular to each other because the two slopes are negative reciprocals

(Y2 - Y1) / (X2 - X1)

First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5

Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2

You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product

-2/5 X 5/2 = -1

Thus the two lines are perpendicular to each other.