Question

Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C. Both Alec and Avis drew triangles, as shown below, to calculate the slopes:

A graph shows numbers from 0 to 18 on the x axis at increments of 2 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 18, 6.The ordered pair 6, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.
Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately? (5 points)

A: Both calculated the slope as 3.

B: Both calculated the slope as 1 over 3.

C: Alec calculated the slope as 1 over 3 and Avis calculated it as 3.

D: Alec calculated the slope as 3 and Avis calculated it as 1 over 3.

Answer 1

[AI-generated answer — Bot GPT 3.5]

D: Alec calculated the slope as 3 and Avis calculated it as 1 over 3.