Precalculus Examples

Find Any Equation Parallel to the Line
Choose a point that the parallel line will pass through.
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Simplify each term.
Simplify .
Write as a fraction with denominator .
Multiply and to get .
Move to the left of the expression .
Multiply 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.
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 .
Rewrite the equation as .
Simplify the left side.
Simplify each term.
Multiply by to get .
Simplify .
Multiply by to get .
Multiply by to get .
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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