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Question 970952: If the lines with equations 10x + cy - 8 = 0 and 5x - y-6 = 0 are perpendicular, find the value of c.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! If the lines with equations 10x + cy - 8 = 0 and 5x - y-6 = 0 are perpendicular, find the value of c.
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rewrite given equations in standard form: y=mx+b, m=slope, b=x-intercept
10x + cy - 8 = 0
cy=-10x+8
y=-(10/c)x+8/c
..
5x - y-6 = 0
y=5x-6
..
slopes of perpendicular lines are negative reciprocals of each other
c/10=5
c=50
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