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MATH IN DEMAND
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MATH IN DEMAND

Slope Given Two Points

Objective:
  • ​Determine the slope of a line given two points
How do we determine the slope of a line given two points on the line?
Given two points,
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we can determine the slope of a line by using the slope formula.  Earlier, you found out that:
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Further, you learned that the change in y is found from subtracting the y coordinates and that the change in x is found from subtracting the x coordinates.  This leads us to the slope formula:
Picture
We will plug in two given points into the slope formula to determine the slope of the line.

Example

Given the following two points, determine the slope:
Picture
Picture
Picture
Picture
Note - I could have labeled my first point as (x2,y2) and my second point as (x1,y1) but I always like to start with (x1,y1).  You should get the same answer for slope regardless of which point you labeled first.

Horizontal and Vertical Lines

Picture

Practice

Determine the slope given the following two points:
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Click here to check your answer.
(C) 2025 MATH IN DEMAND​