# Precalculus Examples

,

Step 1

Use to calculate the equation of the line, where represents the slope and represents the y-intercept.

To calculate the equation of the line, use the format.

Step 2

Slope is equal to the change in over the change in , or rise over run.

Step 3

The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).

Step 4

Substitute in the values of and into the equation to find the slope.

Step 5

Simplify the numerator.

Multiply by .

Subtract from .

Simplify the denominator.

Multiply by .

Add and .

Move the negative in front of the fraction.

Step 6

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

Substitute the value of into the equation.

Substitute the value of into the equation.

Substitute the value of into the equation.

Find the value of .

Rewrite the equation as .

Simplify .

Multiply .

Multiply by .

Multiply by .

Add and .

Step 7

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

Step 8