Algebra Examples
Step 1
Choose a point that the parallel line will pass through.
Step 2
The slope-intercept form is , where is the slope and is the y-intercept.
Simplify the right side.
Simplify each term.
Combine and .
Move to the left of .
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
Add and .
Simplify .
Add and .
Combine and .
Move to the left of .
Write in form.
Reorder terms.
Remove parentheses.
Step 8