# Slope: Alternate Interpretation

- Author:
- Tim Brzezinski

**Recall that the slope of a line is a number that simply tells us how STEEP that line actually is.**You've already learned that slope is the RATIO of the RISE to the RUN between any two points that lie on the line.

**Here may be a more meaningful interpretation of the phrase "slope of a line" for some of you:**

**The slope of a line**is the

**amount by which the output (y-value) of the line changes**

**when the input (x-value) increases by 1 unit.**Interact with the applet below for a few minutes. Feel free to drag the WHITE POINT up and down and ZOOM IN or ZOOM OUT if you need to. Answer the questions that follow. (

**Note color changes that may**

**occur**!)

**What causes the slope of the line to appear purple? **

**What causes the slope of the line to appear red?**