Algebra 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 .
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.
Find the value of using the formula for the equation of a line.
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Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Find the value of .
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Rewrite the equation as .
Simplify each term.
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Multiply by .
Multiply by .
Add to both sides of the equation.
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
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