# Precalculus Examples

Step 1

Choose a point that the perpendicular line will pass through.

Step 2

Step 2.1

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

Step 2.2

Using the slope-intercept form, the slope is .

Step 3

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

Step 4

Step 4.1

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

Step 4.2

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

Step 5

Step 5.1

Solve for .

Step 5.1.1

Add and .

Step 5.1.2

Simplify .

Step 5.1.2.1

Add and .

Step 5.1.2.2

Combine and .

Step 5.2

Reorder terms.

Step 5.3

Remove parentheses.

Step 6