Finite Math Examples

Find the Parallel Line (3,-1) , 3x-8y=9
,
Step 1
Rewrite in slope-intercept form.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Divide each term in by and simplify.
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Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
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Step 1.3.2.1
Cancel the common factor of .
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Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
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Step 1.3.3.1
Simplify each term.
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Step 1.3.3.1.1
Move the negative in front of the fraction.
Step 1.3.3.1.2
Dividing two negative values results in a positive value.
Step 1.4
Write in form.
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Step 1.4.1
Reorder and .
Step 1.4.2
Reorder terms.
Step 2
Using the slope-intercept form, the slope is .
Step 3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 4
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
Simplify the equation and keep it in point-slope form.
Step 6
Solve for .
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Step 6.1
Simplify .
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Step 6.1.1
Rewrite.
Step 6.1.2
Simplify by adding zeros.
Step 6.1.3
Apply the distributive property.
Step 6.1.4
Combine and .
Step 6.1.5
Multiply .
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Step 6.1.5.1
Combine and .
Step 6.1.5.2
Multiply by .
Step 6.1.6
Move the negative in front of the fraction.
Step 6.2
Move all terms not containing to the right side of the equation.
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Step 6.2.1
Subtract from both sides of the equation.
Step 6.2.2
To write as a fraction with a common denominator, multiply by .
Step 6.2.3
Combine and .
Step 6.2.4
Combine the numerators over the common denominator.
Step 6.2.5
Simplify the numerator.
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Step 6.2.5.1
Multiply by .
Step 6.2.5.2
Subtract from .
Step 6.2.6
Move the negative in front of the fraction.
Step 6.3
Reorder terms.
Step 7