Perpendicular lines have slopes that are opposite reciprocals of one another. If the slopes of two lines are opposite reciprocals, their product is - 1. Therefore, to determine if the lines are perpendicular or not, we need to find their slopes using the Slope Formula.
Line
Points
y_2-y_1/x_2-x_1
Slope
Simplified Slope
XY
( - 2,2) & ( 0,1)
1- 2/0-( - 2)
- 1/2
- 1/2
YZ
( 0,1) & ( 4,1)
1- 1/4- 0
0/4
0
We will determine if XY and YZ are perpendicular by multiplying their slopes.
- 1/2* 0=0
Since the product of the slopes does not equal -1, the lines are not perpendicular.
