SOLUTION: Determine whether the given linear equations are parallel, perpendicular, or neither. 8x - 4y = - 12 8x - 4y = 8

Algebra ->  Linear-equations -> SOLUTION: Determine whether the given linear equations are parallel, perpendicular, or neither. 8x - 4y = - 12 8x - 4y = 8       Log On


   



Question 750869: Determine whether the given linear equations are parallel, perpendicular, or neither.
8x - 4y = - 12
8x - 4y = 8

Found 2 solutions by Cromlix, FrankM:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Sort equations into y = mx + c
8x - 4y = - 12 => y = 2x + 3
8x - 4y = 8 => y = 2x - 2
As both lines have the same
gradient, namely, 2, then they
are parallel to one another.
Hope this helps
:-)

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
8x-4y=-12
-4y=-8x-12
y=2x+3 (first equation, rearranged. slope is 2, y intercept is 3)
8x - 4y = 8
2x -y = 2
-y=-2x+2
y=2x-2 (second equation rearranged. slope is 2, y intercept is -2)
Slopes are the same, but different y intercepts, so these lines are parallel.