A) find the slope of the bike path. b) find the slope of line from you to the bike path that is perpendicular. c) which point would be the shortest distance to travel to get to the bike path? a) slope of the bike path = b) slope of the perpendicular line from you to the path = c) point = ( , )

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)

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