SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x-2y+10 L2 with equation 2x+y=2

Algebra ->  Graphs -> SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x-2y+10 L2 with equation 2x+y=2      Log On


   

Question 115008: Are the following lines parallel, perpendicular, or neither?
L1 with equation x-2y+10
L2 with equation 2x+y=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope.
Perpendicular lines have slopes that are negative reciprocals of each other.
Put both equations into the slope intercept form.
Small problem, L1 is not an equation, there is no equal sign.
I'll assume you meant like this.
L1 : x-2y=10
L2 : 2x%2By=2
The answer will be the same since the constant has no effect on slope.
For line 1,
L1:x-2y=10
-2y=10-x
y=-5%2Bx%2F2
y=x%2F2-5
m%5B1%5D=1%2F2
For line 2,
L2 : 2x%2By=2
y=-2x%2B2
m%5B2%5D=-2
Since m%5B1%5D=-1%2Fm%5B2%5D, the slopes are negative reciprocals of each other.
The lines are perpendicular to each other.
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B2%2C+x%2F2-5%29+