Question 58519: Determine if the lines are parallel, perpendicular or neither:
-4x + 3y = 4
-8x + 6y = 0
Answer by megaroo11891(5)   (Show Source):
You can put this solution on YOUR website! Well, first off, to determine if two lines are parallel, they would have the same slope. If they are perpendicular, the slopes would be opposite (i.e. a slope of 2 and a slope of 1/2 are perpendicular). So you have to put these equations in slope-intercept form.
-4x + 3y = 4
+4x +4x Add 4x to both sides
3y = 4x + 4 Divide by 3
3 3 3
y = 4/3x + 4/3 This is your first equation
-8x + 6y = 0
+8x +8x Add 8x to both sides
6y = 8x Divide by 6
6 6
y = 8/6x Simplify
y = 4/3x This is your second equation
Note what I said above and take that into account. Both of the slopes are 4/3x, which means that the lines are parallel!
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