Finite Math Examples

Find Any Equation Perpendicular to the Line 8x+y-6=0
Step 1
Choose a point that the perpendicular line will pass through.
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Add to both sides of the equation.
Step 3
Use the slope-intercept form to find the slope.
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Step 3.1
The slope-intercept form is , where is the slope and is the y-intercept.
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
Simplify to find the slope of the perpendicular line.
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Step 5.1
Move the negative in front of the fraction.
Step 5.2
Multiply .
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Step 5.2.1
Multiply by .
Step 5.2.2
Multiply by .
Step 6
Find the equation of the perpendicular line using the point-slope formula.
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Step 6.1
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 6.2
Simplify the equation and keep it in point-slope form.
Step 7
Write in form.
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Step 7.1
Solve for .
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Step 7.1.1
Add and .
Step 7.1.2
Simplify .
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Step 7.1.2.1
Add and .
Step 7.1.2.2
Combine and .
Step 7.2
Reorder terms.
Step 8