Question

Billy rides his gas-efficient motor scooter to school everyday in a meandering way. He rides 5 miles north, then 3 miles east, then 6 miles south, then 8 miles west, then 3 miles north, then 10 miles east, then 2 miles west, then 7 miles north, then 15 miles west, then 9 miles south, then 6 miles east, then 4 miles west, then 13 miles south, then 3 miles west, then 4 miles north, then 12 miles east to reach school. If, instead of meandering, Billy rode in a straight line to school, what would be the slope of the line perpendicular to the path?

Answer 1

-1/17.

Answer 2

could please show me steps

Answer 3

it's easy, east-west is along the ais, and north-south is the y ais. Group up these movements and use -ve for reverse directions. Then yoou'.. find where the school is wrt to theorigin. That is (-1,17) fr this case. Slope is thus, -17. Sorry about that, my initial answer was wrong.
X : 3-8+10-2-15+6-4-3 . Do it for the Y axis yourself.

Answer 4

Thanks