# Using the Slope Formula

Do you have trouble remembering all of the algebra formulas,
especially the slope formula? If so, you're in luck! Here you'll find a
quick reference sheet with all of the formulas for slope.

Let's start by identifying slope.

## Definition of Slope

The slope of a line defines the steepness of the line and whether the line rises or falls.

The definition of slope is the **rise divided by the run**, written as:

The slope is calculated by counting the rise and then counting the run. We then write the slope as a fraction.

We use this definition when calculating slope or graphing slope.

Graphing slope also leads us to a very popular method for graphing linear equations, slope intercept form.

Slope Intercept Form

When a linear equation is written in
slope intercept form, the slope of the line can easily be identified.
The slope is "m" or the coefficient of x in the equation.

Often times a graph is not present, and we must calculate the slope when
given two ordered pairs. In this case we must use another special
formula.

## Calculating Slope Given Two Points

When given two points, the following formula can be used to determine the slope of the line:

This formula is commonly used to solve rate of change problems. Click here for detailed examples on using this formula.

Keeping a reference sheet of formulas is a great way to study
Algebra. Slope is a very important concept to remember in Algebra, so
make sure you add these formulas and definitions to your reference sheet
or study guide.

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