From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
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.

Slopes (Again)

We know that the slope of a line is given by

or by

Since y is usually the dependent variable and x is usually the independent variable, you may also see


The symbol Δ is the Greek capital letter "Delta", which mathematicians use to mean "change."

We usually use the slope formula to calculate the slope of a line given Δ y and Δ x. If we know the slope and Δ x we can instead use the slope formula to find Δ y.

Using algebra, if

then multiplying both sides by Δ x we get

Therefore if we know the slope of a line and we move over by Δ , then we know y is needs to to change by (slope × Δ x).

People who Shmooped this also Shmooped...