# Algebra Examples

,

Find the value of using the formula for the equation of a line.

Substitute the value of into the equation.

Substitute the value of into the equation.

Substitute the value of into the equation.

Rewrite the equation as .

Simplify each term.

Multiply by to get .

Move to the left of the expression .

Multiply by to get .

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

Subtract from both sides of the equation.

Subtract from to get .

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.