Step 1. Determine the slope of the graph of your given equation. The given equation is presented in slope-intercept form, so the slope of the graph is the coefficient on .
Step 2. Calculate the slope of the desired line. Perpendicular lines have slopes that are negative (or opposite, if you prefer) reciprocals, that is:
Step 3. Use the point-slope form of an equation of a line to derive the desired equation:
where are the coordinates of the given point and is the calculated slope.
Step 4. Determine the form of the answer desired by either your textbook or instructor/teacher/professor and arrange your point-slope form to the desired form.
You might also want to share with your instructor/teacher/professor that the question posed is grammatically and technically incorrect. You cannot derive the equation of a line. You can only derive an equation of a line.
John
My calculator said it, I believe it, that settles it
