Question

Find the slope please help

Answer 1

The slope of each of the given lines are: a. m = -5/2; b. m = 4; c. m = 1/3; d. m = 0; e. m = -2.

What is the slope of a line?

The slope of a line is a measure of its steepness and is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

Let's calculate the slope (m) for each pair of points using the formula:

`m = (y_2 - y_1)/(x_2 - x_1)`

a. (-2, 2) and (0, -3):

m = (-3 - 2) / (0 - (-2))

m = -5/2

b. (1, 2) and (0, -2):

m = (-2 - 2) / (0 - 1)

m = -4/-1

m = 4

c. (0, -1) and (3, 0):

m = (0 - (-1)) / (3 - 0)

m = 1/3

d. (-3, 2) and (3, 2):

m = (2 - 2) / (3 - (-3))

m = 0/6

m = 0

e. (-1, -1) and (-1, 3):

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

m = 4/-2

m = -2