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What is the equation of the perpendicular line to y=-1/4x+1 that passes through (5,21)

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y=-1/4x+1 line slope is m=1/4


perpendicular lines slopes multiples -1


m.m'=-1

1/4.m'=-1

m'=-4


(5,21) x'=5 y'=21


m'. (x'-x)=y'-y


-4. (5-x)=21-y


-20+5x=21-y


-y=5x-41


y=41-5x


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