# Precalculus Examples

,

Step 1

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

Step 2

Substitute the value of into the equation.

Step 3

Substitute the value of into the equation.

Step 4

Substitute the value of into the equation.

Step 5

Step 5.1

Rewrite the equation as .

Step 5.2

Move to the left of .

Step 5.3

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

Step 5.3.1

Subtract from both sides of the equation.

Step 5.3.2

Subtract from .

Step 5.4

Divide each term in by and simplify.

Step 5.4.1

Divide each term in by .

Step 5.4.2

Simplify the left side.

Step 5.4.2.1

Cancel the common factor of .

Step 5.4.2.1.1

Cancel the common factor.

Step 5.4.2.1.2

Divide by .

Step 5.4.3

Simplify the right side.

Step 5.4.3.1

Dividing two negative values results in a positive value.

Step 6

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

Step 7