Finite Math Examples

Find Any Equation Parallel to the Line (y-5)=2(x-2)
Step 1
Choose a point that the parallel line will pass through.
Step 2
Rewrite in slope-intercept form.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Simplify the left side.
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Step 2.2.1
Remove parentheses.
Step 2.3
Simplify the right side.
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Step 2.3.1
Simplify .
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Step 2.3.1.1
Apply the distributive property.
Step 2.3.1.2
Multiply by .
Step 2.4
Move all terms not containing to the right side of the equation.
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Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Add and .
Step 3
Using the slope-intercept form, the slope is .
Step 4
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 5
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 6
Simplify the equation and keep it in point-slope form.
Step 7
Solve for .
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Step 7.1
Add and .
Step 7.2
Add and .
Step 8