Question

Which set of points have the same slope?

1. (-6, -3) & (-4, -2)
2. (-1, -2) & (3, -4)
3. (1, -19) & (-2, -7)
4. (1, -4) & (4, 3)
5. (-3, -4) & (-2, -8)

Answer 1

The sets of points (-6, -3) & (-4, -2) and (-2, -8) & (-3, -4) have the same slope.

Step-by-step explanation:

The set of points that have the same slope can be determined by calculating the slope between each pair of points. The slope is given by the formula:

slope = (change in y-coordinates)/(change in x-coordinates)

Calculating the slope for each set of points:

1. (-6, -3) & (-4, -2): slope = (-2 - (-3))/(-4 - (-6)) = 1/2 = 0.5
2. (-1, -2) & (3, -4): slope = (-4 - (-2))/(3 - (-1)) = -2/4 = -0.5
3. (1, -19) & (-2, -7): slope = (-7 - (-19))/(-2 - 1) = 12/3 = 4
4. (1, -4) & (4, 3): slope = (3 - (-4))/(4 - 1) = 7/3
5. (-3, -4) & (-2, -8): slope = (-8 - (-4))/(-2 - (-3)) = -4/1 = -4

Hence, the sets of points that have the same slope are:

• (-6, -3) & (-4, -2) and (-2, -8) & (-3, -4)