a) Find the slope of the bike path.
(25, 120) and (50, 140)
Slope = (140 - 120)/(50 -25) = 20/25 = 4/5
Slope = 4/5
b) Find the slope of line from you to the bike path that is perpendicular.
Perpendicular lines, slope is opposite and reciprocal so slope = - 5/4
c) Which point would be the shortest distance to travel to get to the bike path?
Shortest distance will be (75, 160)