# Calculus Examples

,

Step 1

Slope is equal to the change in over the change in , or rise over run.

Step 2

The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).

Step 3

Substitute in the values of and into the equation to find the slope.

Step 4

Step 4.1

Simplify the numerator.

Step 4.1.1

Multiply by .

Step 4.1.2

Subtract from .

Step 4.2

Simplify the denominator.

Step 4.2.1

Multiply by .

Step 4.2.2

Add and .

Step 4.3

Move the negative in front of the fraction.

Step 5