1. Education
You can opt-out at any time. Please refer to our privacy policy for contact information.

Discuss in my forum

How to Find the Slope of a Line With a Graph

Determining Slope Graphically


y= 1/2x + 2

y= 1/2x + 2

Jennifer Ledwith

How can you verify the slope of a line just by looking at its graph? Think rise over run. Slope is a ratio between the change in y and the change in x. In fact, slope is written in the following format:


Refer to the image of the graph of y= 1/2x + 2 and choose a couple of points on the line.

Point A (-4,0) and Point B (0,2)

Start with the rise. Put your finger on Point A and count
up until you are across from Point B. You moved up 2
units; rise is 2.

Continue with the run. Move your finger to the right
until you are at Point B. You moved across 4 units;
run is 4.

Therefore:  rise/run = 2/4.

Simplify and discover that the slope of the line is 1/2.

Quick tip for rise: Move your finger up, and rise is positive. Move your finger down, and rise is negative.
Quick tip for run: Move your finger to the right, and run is positive. Move your finger to the left, and run is negative.


Related Video
What Is Rise Over Run?
  1. About.com
  2. Education
  3. Mathematics
  4. Math Help and Tutorials
  5. Algebra
  6. Algebra 1 Help
  7. All About Slope
  8. How to Find the Slope of a Line With a Graph

©2014 About.com. All rights reserved.