Examples
,
Step 1
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
Step 5.1
Simplify .
Step 5.1.1
Rewrite.
Step 5.1.2
Simplify by adding zeros.
Step 5.1.3
Apply the distributive property.
Step 5.1.4
Multiply by .
Step 5.2
Move all terms not containing to the right side of the equation.
Step 5.2.1
Subtract from both sides of the equation.
Step 5.2.2
Subtract from .
Step 6