The two points that have a slope of 3/4 are A (1,3) and E (5,6).
To determine which two points have a slope of 3/4, we use the formula for slope between two points (m):
m = (y2 - y1) / (x2 - x1)
We need to find which pair of points, when plugged into the formula, gives us a slope (m) of 3/4. Let's calculate the slope between each pair of points:
Slope between A (1,3) and B (2,-4): m = (-4 - 3) / (2 - 1) = -7/1 = -7
Slope between A (1,3) and C (3,0): m = (0 - 3) / (3 - 1) = -3/2 = -1.5
Slope between A (1,3) and D (4,5): m = (5 - 3) / (4 - 1) = 2/3
Slope between A (1,3) and E (5,6): m = (6 - 3) / (5 - 1) = 3/4
Slope between B (2,-4) and C (3,0): m = (0 - (-4)) / (3 - 2) = 4/1 = 4
Slope between B (2,-4) and D (4,5): m = (5 - (-4)) / (4 - 2) = 9/2 = 4.5
Slope between B (2,-4) and E (5,6): m = (6 - (-4)) / (5 - 2) = 10/3
Slope between C (3,0) and D (4,5): m = (5 - 0) / (4 - 3) = 5/1 = 5
Slope between C (3,0) and E (5,6): m = (6 - 0) / (5 - 3) = 6/2 = 3
Slope between D (4,5) and E (5,6): m = (6 - 5) / (5 - 4) = 1/1 = 1
The only pair of points that has a slope of 3/4 is between points A (1,3) and E (5,6).
The probable question may be: "of the following points which two have a slope of 3/4?
A) (1,3)
B) (2,-4)
c) (3,0)
D) (4, 5)
E) (5,6)"