Choose a point that the parallel line will pass through.

The slope-intercept form is , where is the slope and is the y-intercept.

Simplify each term.

Move the negative in front of the fraction.

Combine and .

Rewrite in slope-intercept form.

Using the slope-intercept form, the slope is .

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point–slope formula.

Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .

Simplify the equation and keep it in point-slope form.

Add and .

Simplify .

Add and .

Combine and .

Reorder terms.

Remove parentheses.

Find Any Equation Parallel to the Line y=-1/3x+1