Precalculus Examples

Find Any Equation Parallel to the Line
Choose a point that the parallel line will pass through.
Rewrite in slope-intercept form.
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The slope-intercept form is , where is the slope and is the y-intercept.
Subtract from both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Rewrite in slope-intercept form.
Using the slope-intercept form, the slope is .
To find an equation that is parallel to , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
Using the point-slope form , plug in , , and .
Solve for .
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Subtract from .
Simplify .
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Multiply by .
Apply the distributive property.
Combine and .
Multiply .
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Multiply by .
Multiply by .
Move to the left of .
Reorder terms.
Remove parentheses.
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