Algebra Examples

Find the Perpendicular Line
,
Step 1
Use the slope-intercept form to find the slope.
Tap for more steps...
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
Find the equation of the perpendicular line using the point-slope formula.
Tap for more steps...
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
Write in form.
Tap for more steps...
Step 4.1
Solve for .
Tap for more steps...
Step 4.1.1
Simplify .
Tap for more steps...
Step 4.1.1.1
Rewrite.
Step 4.1.1.2
Simplify by adding zeros.
Step 4.1.1.3
Apply the distributive property.
Step 4.1.1.4
Combine and .
Step 4.1.1.5
Multiply .
Tap for more steps...
Step 4.1.1.5.1
Multiply by .
Step 4.1.1.5.2
Combine and .
Step 4.1.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 4.1.2.1
Add to both sides of the equation.
Step 4.1.2.2
To write as a fraction with a common denominator, multiply by .
Step 4.1.2.3
Combine and .
Step 4.1.2.4
Combine the numerators over the common denominator.
Step 4.1.2.5
Simplify the numerator.
Tap for more steps...
Step 4.1.2.5.1
Multiply by .
Step 4.1.2.5.2
Add and .
Step 4.2
Reorder terms.
Step 4.3
Remove parentheses.
Step 5
Enter YOUR Problem
Mathway requires javascript and a modern browser.