SOLUTION: Given the two linear equations determine whether the lines are parallel, perpendicular, or neither. 6x+7y=42 7x=16+6y The lines are

Algebra ->  Equations -> SOLUTION: Given the two linear equations determine whether the lines are parallel, perpendicular, or neither. 6x+7y=42 7x=16+6y The lines are      Log On


   

Question 1084958: Given the two linear equations determine whether the lines are parallel, perpendicular, or neither.
6x+7y=42
7x=16+6y
The lines are
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert both to slope-intercept form,
6x%2B7y=42
7y=-6x%2B42
y%5B1%5D=-%286%2F7%29x%2B6
.
.
6y=7x-16
y%5B2%5D=%287%2F6%29x-8%2F3
.
.
Parallel lines have slopes that are identical.
m%5B1%5D=m%5B2%5D
-6%2F7%3C%3E7%2F6
Perpendicular lines have slope that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
-%286%2F7%29%287%2F6%29=-1
-1=-1
True, they're perpendicular.