Question

What is the slope of the line that runs through the points (-2, -3) and (-3, -7)?

A) 4/5
B) -4/5
C) 3/5
D) -3/5

Answer 1

The slope of the line running through the points (-2, -3) and (-3, -7) is 4, which is a positive number, indicating a straight line with a positive slope.

Step-by-step explanation:

The slope of a line that runs through two points can be found using the formula:

Slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)

For the points (-2, -3) and (-3, -7):

Change in y = -7 - (-3) = -7 + 3 = -4

Change in x = -3 - (-2) = -3 + 2 = -1

Therefore, the slope of the line is: m = -4 / -1 = 4.

Since the slope is positive, we can determine that it is a straight line with a positive slope.