Rise and Run

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Rise and Run

Introduction to the Cartesian Coordinate System

 In the following example we calculate rise and run with the formulas: rise= y2 - y1 and run = x2 – x1 where (x1, y1) is the first point and (x2,y2) is the second.Example 1Find the rise and the run for the two points in the sketch.Click here to view the graph and complete the exercise. 

Example 2Find the rise and the run for each point in the sketchClick here to view the sketch to complete the exerciseFind the rise and the run for each point in the sketch.

Solution Example 2

Example 3

Solution Example 3

Example 4

Solution Example 4

 In the examples 3 and 4 above note that the rise and the run change signs when you change directions but the ratio of rise to run in each case would be –(13/8). The ratio of rise to run is called the slope of a line and is a very powerful tool to measure the steepness of the line or its rate of change.Go on to learn about thedistance formula.

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