SOLUTION: Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-8y= -18 32x+12y= -18

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Question 157483: Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
3x-8y= -18
32x+12y= -18
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Transform each equation to slope-intercept form, y=mx%2Bb.
Then compare the slopes.
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1.3x-8y=-18
1.8y=3x%2B18
1.y=%283%2F8%29x-9%2F4
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2.32x%2B12y=+-18
2.12y=-32x-18
2.y=-%2832%2F12%29-18%2F12
2.y=-%288%2F3%29-3%2F2
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The slopes are negative reciprocals of each other.
m%5B1%5Dm%5B2%5D=%283%2F8%29%28-8%2F3%29=-1
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This is a property of perpendicular lines.
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Graphical proof of perpendicularity.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+0.375%2Ax-9%2F4%2C+-2.67%2Ax-3%2F2%29+