SOLUTION: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b
(4,7);5x+y=9
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(4,7);5x+y=9
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Question 1091804: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b
(4,7);5x+y=9 Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 5x + y = 9
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y = -5x +9
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the slope of this line is -5, therefore the perpendicular line is the negative reciprocal of -5 which is 1/5
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y = x/5 +b
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to find b, we use the point (4,7)
:
7 = 4/5 +b
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b = 7 -4/5 = 35/5 -4/5 = 31/5
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y = x/5 +31/5
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