Find the shortest distance

Question

Determine the shortest distance from the point E(1,-4) to the line through points F(-5,2) and G(3,4)

Answer 1

1) Determine slope between F and G

2) Determine equation of line through F and G

3) Use negative reciprocal of the slope to determine equation of line through E

4) Determine common solution of two equations

5) Use distance formula for point E to point of intersection.