Course: Elementary Algebra
Topic: Lines and their Graphs
Subtopic: Slopes


Here we'll focus on the concept of slope which measures the steepness of a line. Slope is an important aspect of linear functions and has applications to real-life situations in the form of "rate" of growth. Some cautions to note:


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: steepness, slope, slope triangle, rate of change (a.k.a. rate, rate of growth/decay), horizontal line, vertical line, zero slope, undefined slope

Slope Formula slope = rise / run = m = (y2-y1) / (x2-x1) (memorize it!)

Supplementary Resources

Read the two articles linked below. Both highly recommended!
Ask Dr Math's Why is the letter m used for slope?
and PurpleMath's The Meaning of Slope and Y-Intercept.