Finite Math Examples

Find Any Equation Parallel to the Line 4x-7y=-14
Step 1
Choose a point that the parallel line will pass through.
Step 2
Rewrite in slope-intercept form.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Subtract from both sides of the equation.
Step 2.3
Divide each term in by and simplify.
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Step 2.3.1
Divide each term in by .
Step 2.3.2
Simplify the left side.
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Step 2.3.2.1
Cancel the common factor of .
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Step 2.3.2.1.1
Cancel the common factor.
Step 2.3.2.1.2
Divide by .
Step 2.3.3
Simplify the right side.
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Step 2.3.3.1
Simplify each term.
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Step 2.3.3.1.1
Divide by .
Step 2.3.3.1.2
Dividing two negative values results in a positive value.
Step 2.4
Write in form.
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Step 2.4.1
Reorder and .
Step 2.4.2
Reorder terms.
Step 3
Using the slope-intercept form, the slope is .
Step 4
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 5
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
Simplify the equation and keep it in point-slope form.
Step 7
Solve for .
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Step 7.1
Add and .
Step 7.2
Simplify .
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Step 7.2.1
Add and .
Step 7.2.2
Combine and .
Step 7.3
Reorder terms.
Step 8