Question

Which of the following statements is NOT true YA The slope of AB is different than the slope of BC. С. The ratios of the ris the run for the trian are equivalent. В. 2 x Х -2 A AB has the same slo as AC.

Answer 1

Given the line passes through the points:

A = ( -5 , -2 ) , B = ( -2 , 0 ) and C = ( 4 , 4 )

Now, we will check which statements is not true:

1) The slope of AB is different than the slope of BC

This is not true, because the three points are on the same line

So, the slope of AB = the slope of BC

2) The ratios of the rise to the run for the triangles are equivalent

This is true, the ratios rise to the run are equal to the slope

As the slope is constant the ratios will be constant

3) AB has the same slope of AC

This is true, the three points are on the same line

4) the slope of AC = 2/3

Slope = Rise/Run

Rise = 4 - (-2) = 4 + 2 = 6

Run = 4 - (-5) = 4 + 5 = 9

So, the slope = 6/9 = 2/3

So, the statement is true

So, the wrong statement is the first one which is:

The slope of AB is different than the slope of BC