Beatrice calculated the slope between two pairs of points. she found that the slope between ( ( -3, 3 , -2) 2 ) and (1, 0) ( 1 , 0 ) is 12 1 2 . she also found that the slope between ( ( -2, 2 , -1) 1 ) and (4, 2) ( 4 , 2 ) is 12 1 2 . 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

These points may or may not be on the same line.

Step-by-step explanation:

The first set of points is: (-3, -2) and (1, 0)

The second set of points is (-2, -1) and (4,2)

Slope of first two points is:

Slope of second set of points is:

The points are on the lines with the same slopes. But this does not guarantee that these points are on the same line as two parallel lines will also have the same slopes. In order to confirm the conclusion Beatrice need to find the y-intercept or the equation of the lines. If the y-intercept or the equation of lines is same in both cases this would mean that all 4 points are on the same line, else they would be on 2 different lines.

the answer

b. they are parallel and will never intersect.