Find the point on the line 2x+3y+5=0 that is closest to the point (-1, -2).

Answer 1

The point on the line closest to the point lies on the normal to the line.

Determine the slope of the given line

Use the negative reciprocal for the slope of the normal.

Use this slope and the given point to determine the equation of the normal

Determine the point of intersection of the equation of the normal and the given equation.

You have the answer