consider this line 9x-4y=-9

User Generated

cgureevna

Mathematics

Description

find equation of the line that is parallel to this line and also find equation that is perpendicular  to this line and passes through the point (1,1).

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Explanation & Answer

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9x-4y=-9

-4y=-9x-9
y=9/4x +9/4
the gradient=9/4
parrallel have equal gradients
(y-1)/(x-1)=9/4
y-1=9/4(x-1)
y=9/4x-9/4+1
y=9/4x-5/4
perpendicular
gradient=-4/9
(y-1)/(x-1)=-4/9
y-1=-4/9(x-1)
y=-4/9x+4/9+1
y=-4/9x+13/9

 

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