Question 605998
 Start with the given equation. 


 Subtract  from both sides. 


 Rearrange the terms. 


 Divide both sides by  to isolate y. 


 Break up the fraction. 


 Reduce. 


We can see that the equation  has a slope  and a y-intercept . 


Now to find the slope of the perpendicular line, simply flip the slope  to get . Now change the sign to get . So the perpendicular slope is . 


Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope  and the coordinates of the given point . 


 Start with the point slope formula 


 Plug in and  


 Rewrite as  


 Multiply both sides by 3 to clear the fraction 


 Distribute 


 Subtract 3 from both sides. Add 4x to both sides. 


 Combine like terms. 


So the equation of the line perpendicular to  that goes through the point  in standard form is .