Question

Which of these pairs of points defines a line with a slope of 3?

A) (-1, 6) and (-4, 10)
B) (6, -1) and (-4, 10)
C) (-1, 6) and (10, -4)
D) (6, -1) and (10, -4)

Answer 1

The pair of points that defines a line with a slope of 3 is option D) (6, -1) and (10, -4).

Step-by-step explanation:

The slope of a line can be determined using the formula:

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

Using this formula, we can find the slope for each pair of points:

A) (-1, 6) and (-4, 10): slope = (10-6)/(-4-(-1)) = 4/(-4+1) = 4/-3 = -4/3

B) (6, -1) and (-4, 10): slope = (10-(-1))/(-4-6) = 11/-10 = -11/10

C) (-1, 6) and (10, -4): slope = (-4-6)/(10-(-1)) = -10/11

D) (6, -1) and (10, -4): slope = (-4-(-1))/(10-6) = -3/4

Therefore, the pair of points that defines a line with a slope of 3 is option D) (6, -1) and (10, -4).