Question

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.

Answer 1

Answer:

Jeffrey is correct

All 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

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between -5, 6 and -3, 2

substitute the values in the formula

$m=\frac{2-6}{-3+5}$

$m=\frac{-4}{2}=-2$

step 2

Find the slope between (-1, -2) and (0, -4)

substitute the values in the formula

$m=\frac{-4+2}{0+1}$

$m=\frac{-2}{1}=-2$

step 3

Find the slope between (-3, 2) and (0, -4)

substitute the values in the formula

$m=\frac{-4-2}{0+3}$

$m=\frac{-6}{3}=-2$

therefore

Jeffrey is correct

All 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

Answer 2

Answeit is correct, are, and is

Step-by-step explanation: