Question

Calculate the slope (m) for the following pairs of points:

(-2, -8) and (3, 5)
(4, 8) and (-3, 0)
A. m = 13/5, m = -8/7
B. m = 5/13, m = 0
C. m = -5/13, m = -8/7
D. m = 8/7, m = 13/5

Answer 1

The slopes for the pairs of points (-2, -8) and (3, 5), and (4, 8) and (-3, 0) are 13/5 and 8/7, respectively. The correct option is D. m = 8/7, m = 13/5.

Step-by-step explanation:

To calculate the slope (m) for the pairs of points (-2, -8) and (3, 5), and (4, 8) and (-3, 0), we use the formula for the slope of a line between two points, which is:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For the first pair (-2, -8) and (3, 5), the slope calculation is:
m = (5 - (-8)) / (3 - (-2))
m = (5 + 8) / (3 + 2)
m = 13 / 5.

For the second pair (4, 8) and (-3, 0), the slope calculation is:
m = (0 - 8) / (-3 - 4)
m = (-8) / (-7)
m = 8 / 7.