Question

Find the point on the line 2x + y = 9 that is closest to the point (-5, 2). (Give your answers correct to two decimal places.)

Answer 1

the shortest distance between a line and a point is the perpendicular dropped from the point to the line.

Answer 2

Hmm alright, do you have an answer?

Answer 3

no, i gave you a hint. you can find out the slope of the given line.
the slope of the line perpendicular to it is the negative reciprocal of its slope