# Algebra Examples

Find Any Equation Parallel to the Line
Step 1
Choose a point that the parallel line will pass through.
Step 2
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Subtract from both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Move the negative in front of the fraction.
Write in form.
Reorder terms.
Remove parentheses.
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 .
Simplify .
Apply the distributive property.
Combine and .
Multiply .
Multiply by .
Multiply by .
Move to the left of .
Write in form.
Reorder terms.
Remove parentheses.
Step 8