Beatrice calculated the slope between two pairs of points.

she found that the slope between (-3, -2) and (1, 0) is 12.

she also found that the slope between (-2, -1) and (4, 2) is 12.

beatrice concluded that all of these points are on the same line.

use the drop-down menus to complete the statements about beatrice's conclusion.

beatrice is (correct/incorrect). all of these points (are/ are not) on the same line because the slope between (-2,-1) and (1,0) (is/ is not) equal to 1/2.

The answer in the procedure

Step-by-step explanation:

we know that

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

step 1

Find the slope between (-3, -2) and (1, 0)

Find the equation of the line

with m and the point (1,0)

substitute

step 2

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

Find the equation of the line

with m and the point (4,2)

substitute

Compare the equation of the two lines

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.