# Pre-Algebra Examples

,
Step 1
Use the slope-intercept form to find the slope.
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
Simplify to find the slope of the perpendicular line.
Step 3.1
Move the negative in front of the fraction.
Step 3.2
Multiply .
Step 3.2.1
Multiply by .
Step 3.2.2
Multiply by .
Step 4
Find the equation of the perpendicular line using the point-slope formula.
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
Write in form.
Step 5.1
Solve for .
Step 5.1.1
Simplify .
Step 5.1.1.1
Rewrite.
Step 5.1.1.2
Step 5.1.1.3
Apply the distributive property.
Step 5.1.1.4
Combine and .
Step 5.1.1.5
Combine and .
Step 5.1.2
Move all terms not containing to the right side of the equation.
Step 5.1.2.1
Subtract from both sides of the equation.
Step 5.1.2.2
To write as a fraction with a common denominator, multiply by .
Step 5.1.2.3
Combine and .
Step 5.1.2.4
Combine the numerators over the common denominator.
Step 5.1.2.5
Simplify the numerator.
Step 5.1.2.5.1
Multiply by .
Step 5.1.2.5.2
Subtract from .
Step 5.1.2.6
Move the negative in front of the fraction.
Step 5.2
Reorder terms.
Step 6