# Precalculus 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.
Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Simplify the right side.
Step 2.2.1
Simplify each term.
Step 2.2.1.1
Combine and .
Step 2.2.1.2
Move to the left of .
Step 2.3
Write in form.
Step 2.3.1
Reorder terms.
Step 2.3.2
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 .
Step 7.1
Step 7.2
Simplify .
Step 7.2.1
Step 7.2.2
Combine and .
Step 7.2.3
Move to the left of .
Step 7.3
Write in form.
Step 7.3.1
Reorder terms.
Step 7.3.2
Remove parentheses.
Step 8