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.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
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 to get .
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 to get .
Multiply by to get .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
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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