Question

Given: ΔXYZ AB is a midsegment parallel to XY. The slope of AB is 2 3 . What is the slope of XY?

Answer 1

the slope of XY is the same as the slope of AB because XY is parallel to AB. Parallel lines have the same slope. 

Answer 2

Answer: The answer is 23.

Step-by-step explanation: As given in the question and shown in the attached figure, XYZ is a triangle where AB is a mid-segment parallel to the side XY and the slope of AB is 23 . We are to find the slope of XY.

Since the segment AB is parallel to the side XY, and we know that the slopes of two parallel lines are always equal, therefore the slope of XY will be equal to the slope of AB.

The slope of AB is 23, so the slope of XY is also 23.

Thus, 23 is the answer.