Choose a point that the parallel line will pass through.

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

Combine and .

Rewrite the equation as .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Multiply .

Combine and .

Multiply by .

Combine and .

Multiply .

Combine and .

Multiply by .

Move the negative in front of the fraction.

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.

Find Any Equation Parallel to the Line 2x=5/4y+1