First slide
Equation of line in Straight lines
Question

The coordinates of the foot of the perpendicular from the point 2,3 on the line y+3x+4=0 are given by 

Moderate
Solution

h-x1a=k-y1b=-(ax1+by1+c)a2+b2 

(x1,y1)=(2,3);ax+by+c=3x-y+4

Therefore, the foot is h=1/10, k=37/10.

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