Question

Find coordinates of the foot of perpendicular from the point (3,-4) to line 4x-15y+17=0

Answer 1

given equation is 4x-15y+17=0.......(1)

from the given equation the slope is 4/15

let pt be (x,y) and pt given (3,-4)

foot of perpendicular slope=(y-3)/(x+4)

as their slopes are perpendicular

(y-3)/(x+4)*4/15=-1...........(2)

by solving 1 and 2 we get foot of perpendicular as (-3.27,0.26)

I hope it's help you please
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