Question

Please I really need help with this one.Find an equation of the circle passing through
(6, 7) and tangent to the line y = 2x + 1 at (5, 11). Write your answer in standard form.

Answer 1

So to find the tangent line, you have to derive. You understand this part right?

Answer 2

And then to derive...y'=2

Answer 3

When you derive, you get the slope...So the slope of your tangent line is 2.

Answer 4

So now you put this into point slope form y-7=2(x-6)

Answer 5

And then to put it into standard form you just do some algebra: y=2x-12+7-->2x-5

Answer 6

what would I get

Answer 7

y=2x-5