Answer:
If your in college or highly advanced classes this will help you, if your in middle school/high school don't read what I'm going to say:
Explanation:
Both lines have a slope m=34
and thus are parallel.
Perpendicular lines are lines in the same plane that intersect at right angles ( 90
degrees). Two nonvertical lines in the same plane, with slopes m1
and m2
, are perpendicular if the product of their slopes is −1:m1⋅m2=−1
. We can solve for m1
and obtain m1=−1m2
. In this form, we see that perpendicular lines have slopes that are negative reciprocals, or opposite reciprocals. For example, if given a slope
m=−58
then the slope of a perpendicular line is the opposite reciprocal:
m⊥=85
The mathematical notation m⊥
reads “ m
perpendicular.” We can verify that two slopes produce perpendicular lines if their product is −1
.
m⋅m⊥=−58⋅85=−4040=−1✓
Geometrically, we note that if a line has a positive slope, then any perpendicular line will have a negative slope. Furthermore, the rise and run between two perpendicular lines are interchanged.