Question 761697: 1.Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither
2. Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 1.Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither
2. Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither
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Solve for y
Then the coefficient of x is the slope.
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If the slopes are equal they're parallel.
If the slopes are negative inverses, they're perpendicular.
If neither, they're neither.
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! 1.Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither
x-5y=15
y = (1/5)x - 3
slope = 1/5
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-5x-y+2 = 0
y = -5x + 2
slope = -5
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Since (1/5)(-5) = -1 the lines are parallel.
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2. Determine whether the lines y-4=3x and 2y-6x=8 are parallel, perpendicular, or neither
y-4=3x
y = 3x + 4
slope = 3
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2y-6x = 8
y = 3x+4
slope = 3
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Since the two equations are the same the lines are neither.
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Cheers,
Stan H.
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