Question 215301: How can i determine if the followingpairs of lines are parallel, perpendicular or neither: (-3x+5y=40)(5y+3x=17)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! (-3x+5y=40)
(5y+3x=17)
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Find the slope, m, of each line by putting into slope-intercept form.
That means solve for y.
-3x+5y=40
5y = 3x + 40
y = (3/5)x + 8
m = 3/5
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5y+3x=17
5y = -3x + 17
y = (-3/5)x + 17/5
m = -3/5
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To be parallel, the slopes must be equal.
To be perpendicular, they're negative inverses.
These 2 are neither.
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They make the same angle with the axes, one "going up", the other "going down."
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