Finding the Slope of a Line

Slope
The slope of a line tells you how steep the line is.

Formula
To find the slope of a line, we take the change in y divided by the change in x:

Some call this equation "rise over run":


Therefore, in order to find the slope, you divide the difference of the y-coordinates of a point or a line by the difference of the x-coordinates.

Problem #1

What is the slope?

Step 1
Select any 2 points on the line

Point 1:
(-1, -2)

Point 2:
(2, 2)

Step 2
Put those point into the slope formula

Therefore:


= 4/3

Answer: The slope of the line is 4/3

Problem #2


What is the slope?

Step 1
Select any 2 points on the line

Point 1:
(-2, 5)

Point 2:
(-4, 4)

Step 2
Put those point into the slope formula

Therefore:

= -1/-2 which equals: 1/2

Answer: The slope of the line is 1/2


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