Finite Math Examples

Find Any Equation Perpendicular to the Line 4x-y=-3
Step 1
Choose a point that the perpendicular line will pass through.
Step 2
Solve .
Tap for more steps...
Step 2.1
Subtract from both sides of the equation.
Step 2.2
Divide each term in by and simplify.
Tap for more steps...
Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
Tap for more steps...
Step 2.2.2.1
Dividing two negative values results in a positive value.
Step 2.2.2.2
Divide by .
Step 2.2.3
Simplify the right side.
Tap for more steps...
Step 2.2.3.1
Simplify each term.
Tap for more steps...
Step 2.2.3.1.1
Divide by .
Step 2.2.3.1.2
Move the negative one from the denominator of .
Step 2.2.3.1.3
Rewrite as .
Step 2.2.3.1.4
Multiply by .
Step 3
Find the slope when .
Tap for more steps...
Step 3.1
Rewrite in slope-intercept form.
Tap for more steps...
Step 3.1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 3.1.2
Reorder and .
Step 3.2
Using the slope-intercept form, the slope is .
Step 4
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Step 5
Find the equation of the perpendicular line using the point-slope formula.
Tap for more steps...
Step 5.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 5.2
Simplify the equation and keep it in point-slope form.
Step 6
Write in form.
Tap for more steps...
Step 6.1
Solve for .
Tap for more steps...
Step 6.1.1
Add and .
Step 6.1.2
Simplify .
Tap for more steps...
Step 6.1.2.1
Add and .
Step 6.1.2.2
Combine and .
Step 6.2
Reorder terms.
Step 6.3
Remove parentheses.
Step 7