Question 807877: if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps) Found 3 solutions by stanbon, TimothyLamb, richwmiller:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps)
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The slopes must be equal; find the slopes.
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x+y = 5
y = -x+5
slope = -1
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kx + 2y = 0
2y = -kx
y = (-k/2)x
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Your Problem:
Solve:: -k/2 = -1
k = 2
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Cheers,
Stan H.
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You can put this solution on YOUR website! Parallel lines have equal slope.
Get both equations into slope-intercept form: y = mx + b
L1: x + y = 5
y = (-1)x + 5
L2: Kx + 2y = 0
2y = -Kx
y = (-K/2)x
For the slopes of L1 and L2 to be equal, we must have:
-1 = -K/2
Solve for K:
-1 = -K/2
K/2 = 1
K = 2
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Check the answer: plug-in K = 2 into L2. The slopes of L1 and L2 are both -1.
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