# Precalculus Examples

,

Step 1

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

Step 2

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

Step 3

Step 3.1

Simplify .

Step 3.1.1

Rewrite.

Step 3.1.2

Simplify by adding zeros.

Step 3.1.3

Apply the distributive property.

Step 3.1.4

Combine and .

Step 3.1.5

Combine and .

Step 3.1.6

Move the negative in front of the fraction.

Step 3.2

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

Step 3.2.1

Add to both sides of the equation.

Step 3.2.2

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

Step 3.2.3

Combine and .

Step 3.2.4

Combine the numerators over the common denominator.

Step 3.2.5

Simplify the numerator.

Step 3.2.5.1

Multiply by .

Step 3.2.5.2

Add and .

Step 3.3

Reorder terms.

Step 4

List the equation in different forms.

Slope-intercept form:

Point-slope form:

Step 5