Find the equation of the line tangent to y^2=-16x and parallel to x+y=1.
Please help me with this or just give me an idea on how to answer this problem... Thanks!
You want the equation of the tangent that has the same gradient.
So when the gradient is ...
When we have
So we have the gradient and a coordinate that lies on the tangent.
Put this information into , solve for the unknown , and then you will have the equation of the tangent.