STEM Excellence Series: Empowering the Next Generation

RUN

Run

Definition Of Run

Run is the horizontal distance between the two points on the graph.

More About Run

The ratio of "rise" to the "run" finds the steepness or slope of the line
Slope = rise / run

   Example of Run

From the above graph, run = 1 and rise = 4. So, slope = 4/1= 4

Video Examples: Slope ( RISE OVER RUN )

Solved Example on Run

Ques: Identify the run from the slope 3/5

Choices:

A. 5
B. 3
C. 8
D. 2
Correct Answer: A

Solution:

Step 1: Slope = rise/run [Formula for finding the slope.] 
Step 2: Slope = rise/run = 3/5 [Given.] 
Step 3: So, run is 5

Quick Summary

  • Run is the horizontal change between two points.
  • Run is used in calculating the slope of a line.
  • Slope is rise divided by run.
\[ \text{Slope} = \frac{\text{rise}}{\text{run}} \]

🍎 Teacher Insights

Use real-world examples to illustrate rise and run, such as stairs or ramps. Emphasize the importance of consistent direction when calculating rise and run.

🎓 Prerequisites

  • Basic Algebra
  • Understanding of Graphs
  • Ratio and Proportion

Check Your Knowledge

Q1: In a slope of 3/5, what is the run?

Q2: If the rise is 6 and the slope is 2, what is the run?

Frequently Asked Questions

Q: What happens if the run is zero?
A: If the run is zero, the slope is undefined, resulting in a vertical line.

Q: Can the run be negative?
A: Yes, the run can be negative if you are moving from right to left on the graph. This indicates a negative change in the x-coordinate.

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