Question 87804
Write an equation of the line containing the given points and perpendicular to the given line express answer y=mx+b
(8,9) 4x+y=9
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The given line can be written as y = -4x+9
So it has slope = -4.
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Any line perpendicular to it must have slope m=1/4
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Your equation will have the form y=mx+b where m=1/4,
and y=9 when x=8.
So 9 = (1/4)8+b
9 = 2 + b
b=7
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Your equation is y=(1/4)x+7
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{{{graph(400,300,-10,10,-10,10,(1/4)x+7)}}}
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Cheers,
Stan H.