Use the slope-intercept form to find the slope.
The slope-intercept form is , where is the slope and is the y-intercept.
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.
Solve for .
Apply the distributive property.
Multiply by .
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Add and .
Find the Parallel Line y=-5x+3 ; (-6,3)