Short distance problem?

Question

Find the shortest distance from point (2, 3) to the line through (-3, 2) and (1, -4).

Answer 1

Using the two point form determine the equation of the line through (-3, 2) and (1, -4)

Note the slope and take the negative reciprocal.

Use the negative reciprocal for the slope of the line passing through (2, 3) - use point-slope form.

Solve the system of the two equations to determine the point of intersection.

Determine the distance from (2, 3) to the point of intersection.