Question

Find the equation of a line through B(5,2) which is perpendicular to the line 3x+5=0. Hence find the coordinate of the foot of the perpendicular from B to the line.​

Answer 1

y=2, the equation of a line which is perpendicular to the line 3x+5=0

A(-5/3,2) the foot of the perpendicular from B to the line

Explanation:

d1 : 3x+5=0, so 3x=-5, x=-5/3

y=2, the equation of a line which is perpendicular to the line 3x+5=0

A(-5/3,2) the foot of the perpendicular from B to the line