We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Basic Algebra

Basic Algebra

Slope-Intercept Form

Another way to graph a line is to get it in slope-intercept form: y = mx + b, where

  • m is the slope of the line 
  • b is the y-intercept

Since we are given a point of the line, and the slope, we can find an infinite number of other points on the line and connect them.

Remember: slope (m) is equal to the (change in y) / (change in x). Slope = "rise over run"

Slope-intercept form of a line: y = mx + b

Let's examine how to graph one of these equations: y = 2x + 1.

This is in slope-intercept form, so we know that the number in front of x is the slope (2), and that 1 is the y-intercept.

Start by plotting the y-intercept.


Next, since we know that the slope is 2, also known as 2/1, we know that another point will be two spaces up and one over (in the positive direction of course).


Finally, connect these points.


Look Out: when using slope-intercept form to graph lines, you must solve the equation for y, not x.

People who Shmooped this also Shmooped...