# 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.

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

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.