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

Question 108605: Are the following lines parallel, perpendicular, or neither?
L1 with equation x � 2y = 10
L2 with equation 2x + y = 2

Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
L1 :
L2 :
Re-arrange your equations into the slope-interept form.
L1 :
L1 :
L1 :
L2 :
L2 :
Slope of L1 is .
Slope of L2 is .
Parallel lines have equal slopes.

Perpendicular lines have slope that are negative reciprocals.

Since

L1 and L2 are perpendicular.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Put the equations into slope-intercept form.
--------------
Are the following lines parallel, perpendicular, or neither?
L1 with equation x � 2y = 10
2y= x-10
y = (1/2)x-4
slope = 1/2
----------------
L2 with equation 2x + y = 2
y = -2x+2
slope = -2
----------------
Product of the slopes = (1/2)*-2 = -1
so the lines are perpendicular.
=================
Cheers,
Stan H.

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