# Finite Math Examples

,

Step 1

Step 1.1

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

Step 1.2

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 1.3

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

Step 1.4

Simplify.

Step 1.4.1

Simplify the numerator.

Step 1.4.1.1

Multiply by .

Step 1.4.1.2

Subtract from .

Step 1.4.2

Simplify the denominator.

Step 1.4.2.1

Multiply by .

Step 1.4.2.2

Add and .

Step 1.4.3

Move the negative in front of the fraction.

Step 2

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Step 3

Simplify the equation and keep it in point-slope form.

Step 4

Step 4.1

Simplify .

Step 4.1.1

Rewrite.

Step 4.1.2

Simplify by adding zeros.

Step 4.1.3

Apply the distributive property.

Step 4.1.4

Combine and .

Step 4.1.5

Multiply .

Step 4.1.5.1

Multiply by .

Step 4.1.5.2

Combine and .

Step 4.1.5.3

Multiply by .

Step 4.1.6

Simplify each term.

Step 4.1.6.1

Move to the left of .

Step 4.1.6.2

Move the negative in front of the fraction.

Step 4.2

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

Step 4.2.1

Add to both sides of the equation.

Step 4.2.2

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

Step 4.2.3

Combine and .

Step 4.2.4

Combine the numerators over the common denominator.

Step 4.2.5

Simplify the numerator.

Step 4.2.5.1

Multiply by .

Step 4.2.5.2

Add and .

Step 5

Reorder terms.

Step 6

Remove parentheses.

Step 7

List the equation in different forms.

Slope-intercept form:

Point-slope form:

Step 8