# Intro toÂ slope

CCSS Math: 8.F.B.4

Walk through a graphical explanation of how to find the slope from two points and what it means.

We can draw a line through any two points on the coordinate plane.

Let's take the points $(3,2)$ and $(5, 8)$ as an example:

The slope of a line describes how steep a line is. Slope is the change in $y$ values divided by the change in $x$ values.

Let's find the slope of the line that goes through the points $(3,2)$ and $(5, 8)$:

Notice that both of the lines we've looked at so far have been increasing and have had positive slopes as a result. Now let's find the slope of a decreasing line.

## Negative slope

Let's find the slope of the line that goes through the points $(2,7)$ and $(5, 1)$.

Wait a minute! Did you catch that? The change in $y$ values is negative because we went from $7$ down to $1$. This led to a negative slope, which makes sense because the line is decreasing.

## Slope as "rise over run"

A lot of people remember slope as "rise over run" because slope is the "rise" (change in $y$) divided by the "run" (change in $x$).

## Let's practice!

*Heads up! All of the examples we've seen so far have been points in the first quadrant, but that won't always be the case in the practice problems.*

## Challenge problems

See how well you understand slope by trying a couple of true/false problems.