Meg calculated the slope of line AC between points A and B. Tania calculated the slope of line AC between points B and C. Both Meg and Tania drew triangles, as shown below, to calculate the slopes:
A graph shows numbers from 0 to 9 on the x -axis at increments of 1 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 9, 6.The ordered pair 3, 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 Meg and Tania if both calculated the slopes accurately?
Both calculated the slope as 2 over 3.
Both calculated the slope as 3 over 2.
Meg calculated the slope as 2 over 3 and Tania calculated it as3 over 2.
Meg calculated the slope as 3 over 2 and Tania calculated it as2 over 3.