Find the point on the line − 3 x + 2 y + 7 = 0 which is closest to the point ( − 2 , − 1 ) .

Answer 1

The point on the line shall lie on the normal to the line that passess through (-2, -1)

Determine slope of given line.

Determine negative reciprocal of that slope

Use that number as the slope for the normal.

Use point-slope form to determine equation of normal

Determie the intersection of the given line and the normal.

That is the closest point.