SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y = 24 L2 with equation 6x + y = 6

Algebra ->  Linear-equations -> SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y = 24 L2 with equation 6x + y = 6       Log On


   

Question 106222: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 6y = 24
L2 with equation 6x + y = 6
Found 2 solutions by HyperBrain, edjones:
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cx%2F6-4%2C6-6x%29
In slope-intercept form,
the equations are as follows:
y=x%2F6-4
y=-6x%2B6
These are perpendicular because if you multiply their slopes (-6 and 1%2F6), you will get -1

Proof? See the figure above!

Power up,
HyperBrain!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x – 6y = 24
6x + y = 6
.
-6y=-x+24
y=(1/6)x-4
.
y=-6x+6
.
they are perpendicular because the slope of one is the negative reciprocal of the other. (1/6 and -6)
Ed
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%281%2F6%29x-4%2C-6x%2B6%29