Pre-Algebra Examples

Find the Parallel Line y=x-2 , (2,6)
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Step 1
Use the slope-intercept form to find the slope.
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Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Using the slope-intercept form, the slope is .
Step 2
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 3
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 4
Simplify the equation and keep it in point-slope form.
Step 5
Solve for .
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Step 5.1
Multiply by .
Step 5.2
Move all terms not containing to the right side of the equation.
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Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Add and .
Step 6