# Algebra Examples

,

Step 1

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

Step 2

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

Step 3

Step 3.1

Simplify .

Step 3.1.1

Rewrite.

Step 3.1.2

Simplify by adding zeros.

Step 3.1.3

Apply the distributive property.

Step 3.1.4

Multiply by .

Step 3.2

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

Step 3.2.1

Subtract from both sides of the equation.

Step 3.2.2

Combine the opposite terms in .

Step 3.2.2.1

Subtract from .

Step 3.2.2.2

Add and .

Step 4

List the equation in different forms.

Slope-intercept form:

Point-slope form:

Step 5