Jeffrey calculated the slope between two pairs of points. He found that the slope between -5, 6 and -3, 2 is -2. He also found that the slope between (-1, -2) and (0, -4) is -2. Jeffrey concluded that all of these points are on the same line. Use the drop-down menus to complete the statements about Jeffrey's conclusion. Jeffrey is (correct/incorrect). All of these points (are/are not) on the same line because the slope between(-3,2) and( 0,-4), which are coordinates from each of the pairs above,(is/is not) equal to -2.
Accepted Solution
A:
Answer:Jeffrey is correctAll of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2Step-by-step explanation:we know thatThe formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
step 1Find the slope between -5, 6 and -3, 2substitute the values in the formula[tex]m=\frac{2-6}{-3+5}[/tex]
[tex]m=\frac{-4}{2}=-2[/tex]
step 2Find the slope between (-1, -2) and (0, -4)substitute the values in the formula[tex]m=\frac{-4+2}{0+1}[/tex]
[tex]m=\frac{-2}{1}=-2[/tex]
step 3Find the slope between (-3, 2) and (0, -4)substitute the values in the formula[tex]m=\frac{-4-2}{0+3}[/tex]
[tex]m=\frac{-6}{3}=-2[/tex]
thereforeJeffrey is correctAll of these points are on the same line because the slope between (-3,2) and( 0,-4), which are coordinates from each of the pairs above, is equal to -2