Question

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

Answer 1

1. Find the slope of the line
2. The slope of a line perpendicular is -1/m
3. Use that slope and the point coordinates in the point-slope form of the equation of a line to find the equation of a line through the point that is perpendicular to the given line
4. Solve the two line equations together to find the point where they intersect

Answer 2

Thank you. I'll do it step by step.