Question

Find the length of a perpendicular line from th point (-2,3) to the line y=2x-3.Also find the point of intersection.

Answer 1

slope of 2x-y=3 is -a/b=2=m

that means for its perpendicular line, slope =m₂= -1/2

using the formula:
y-y₁=m(x-x₁) where (x₁,y₁)=A(-2,3)

y-3=(-1/2)(x+2)
2y-6=-x-2
x+2y-4=0 which is the answer.

Hope it helped.