Question

Find the point on the line 5 x + 4 y + 2 =0 which is closest to the point ( 1, 2 ).

Answer 1

4y=-2-5x
y=-1\2 -5x\4...........eq #1

m=-5\4
for parallel
slope remains same
(x,y)=(1,2)
put it in the eq#1
2=b -5\4
2=4b-5\4
8=4b-5
8+5=4b
13\4=b
b=13\4
y=-5\4 x +13\4