,

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

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).

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

Simplify.

Reduce the expression by cancelling the common factors.

Cancel the common factor of and .

Rewrite as .

Factor out of .

Reorder terms.

Factor out of .

Cancel the common factors.

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Subtract from .

Simplify the denominator.

Multiply by .

Add and .

Multiply by .

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Simplify the equation and keep it in point-slope form.

Simplify .

Apply the distributive property.

Combine and .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Reorder terms.

List the equation in different forms.

Slope-intercept form:

Point-slope form:

Find the Equation Using Point-Slope Formula (-4,-2) , (4,8)