# Precalculus Examples

,

Step 1

Step 1.1

The slope-intercept form is , where is the slope and is the y-intercept.

Step 1.2

Using the slope-intercept form, the slope is .

Step 2

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Step 3

Step 3.1

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

Step 3.2

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

Step 4

Step 4.1

Solve for .

Step 4.1.1

Add and .

Step 4.1.2

Simplify .

Step 4.1.2.1

Apply the distributive property.

Step 4.1.2.2

Combine and .

Step 4.1.2.3

Multiply .

Step 4.1.2.3.1

Multiply by .

Step 4.1.2.3.2

Combine and .

Step 4.1.2.4

Move the negative in front of the fraction.

Step 4.2

Reorder terms.

Step 4.3

Remove parentheses.

Step 5