Question

There are 5 points on the coordinate plane — A, B, C, D, and E — with x-coordinates 1, 2, 3, 4, and 5 (in that order). The slope of segment AB is 2, the slope of BC is 0, the slope of CD is 1, and the slope of DE is 9. What is the slope of AE?

Answer 1

3

Explanation:

The horizontal components of AB, BC, CD, and DE are all 1 unit. Thus, we can aggregate the slopes of AB, BC, CD, and DE to find the slope of AE.

=> (2 + 0 + 1 + 9)/4 = 3.