# Pre-Algebra Examples

,

Step 1

Step 1.1

Use the formula for the equation of a line to find .

Step 1.2

Substitute the value of into the equation.

Step 1.3

Substitute the value of into the equation.

Step 1.4

Substitute the value of into the equation.

Step 1.5

Find the value of .

Step 1.5.1

Rewrite the equation as .

Step 1.5.2

Simplify each term.

Step 1.5.2.1

Combine and .

Step 1.5.2.2

Move the negative in front of the fraction.

Step 1.5.3

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

Step 1.5.3.1

Add to both sides of the equation.

Step 1.5.3.2

To write as a fraction with a common denominator, multiply by .

Step 1.5.3.3

Combine and .

Step 1.5.3.4

Combine the numerators over the common denominator.

Step 1.5.3.5

Simplify the numerator.

Step 1.5.3.5.1

Multiply by .

Step 1.5.3.5.2

Add and .

Step 1.5.3.6

Move the negative in front of the fraction.

Step 2

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

Step 3