Precalculus Examples

Find the Parallel Line y=4x-2 , (0,5)
,
Use the slope-intercept form to find the slope.
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The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Simplify the equation and keep it in point-slope form.
Solve for .
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Add and .
Add to both sides of the equation.
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