8
QuizMultiple Choice

Slope

Question 8 • Q5 Geometry New 2022

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located 15 blocks east and 22 blocks north of the central station. The last stop on the route is the airport, which is located 25 blocks west and 36 blocks south of the central station. A student calculated the middle stop along the bus route to be located 20 blocks east and 29 blocks north of the central station. Evaluate the student’s answer.

Answer
A
The answer is correct.
B
The answer is not correct. The student averaged a horizontal movement with a vertical movement.
C
The answer is not correct. The student did not compute the sums of the horizontal and vertical directions correctly.
D
The answer is not correct. The student did not average the distances.

Explanation

Treat east and north as positive, and west and south as negative. The endpoints are (15, 22) and (−25, −36), so their midpoint is ((15 + (−25))/2, (22 + (−36))/2) = (−5, −7): 5 blocks west and 7 blocks south. The student averaged the distances without accounting for direction, so the sums of the horizontal and vertical directions were not computed correctly.

AI-written and checked against the verified answer.

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