Question

Determine the slope of the line that has the following coordinates (-3, -7) and (5, -1).

a) (4/3)
b) (2/3)
c) (3/4)
d) (3/2)

Answer 1

The slope of the line passing through the points (-3, -7) and (5, -1) is 3/4.

Step-by-step explanation:

To determine the slope of a line passing through two points, we can use the formula:

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

Using the given coordinates (-3, -7) and (5, -1), we can substitute the values into the formula as follows:

m = (-1 - (-7))/(5 - (-3))

This simplifies to m = 6/8 = 3/4.

Therefore, the slope of the line is 3/4.