Question

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

A graph shows numbers from 0 to 27 on the x axis at increments of 3 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 27, 6.The ordered pair 9, 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 Liam and Olivia if both calculated the slopes accurately?

Liam calculated the slope as 2 over 9 and Olivia calculated it as9 over 2.
Liam calculated the slope as 9 over 2 and Olivia calculated it as2 over 9.
Both calculated the slope as 2 over 9.
Both calculated the slope as 9 over 2.

Answer 1

Here uhhhh the graph thingy