Question

Help! Pre Algebra question about slope!

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:


Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately?

(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 as1 over 3.

Answer 1

Your answer should be (B.) Both calculated the slope as 1 over 3

Explanation:

First of all, it has to be A or B. The question does say that they have to calculate it accurately. You can't do that if they are both different. Second, remember rise over run. The rise of the first triangle is 2, and the run is 6. Simplify that to get 1/3. Now, we can stop there because B is the only possible answer.

Hope I helped! =)