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.

Liam calculated the slope of line AC between points A(0,0) and B(9,2):
m=(9-0)/(2-0) = 9/2
Olivia calculated the slope of line AC between points B(9,2) and C(27,6):
m=(27-9)/(6-2)=18/4=9/2
Answer: Both calculated the slope 9 over 2.

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akposevictor akposevictor · Answer 2 · 2022-06-01T16:21:59+02:00

The correct statement about the slopes they both calculated is: D. Both calculated the slope as 9 over 2.

How to Calculate Slope of a Line?

Slope = rise/run = change in y / change in x

Slope of line AC calculated by Olivia by Liam = (9-0)/(2-0)

= 9/2

Slope of line AC calculated by Olivia = (27-9)/(6-2)

= =18/4

= 9/2

The true statement about the slopes calculated would be: D. Both calculated the slope as 9 over 2.

Learn more about slope on:

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