Answer:
7+8
Step-by-step explanation:
Your Welcome!!
(Hopefully they're all right)
I'm assuming you have. The first thing we do is find the slope of the tangent line by finding the derivative of the equation at the point (5,6).
expanding the equation
x^2 - 4x + 4 + y^2 - 4y + 4 = 25
Finding the derivative
2x - 4 + 2y y' - 4y' = 0
y'( 2y - 4) = 4 - 2x
y' = (4 - 2x) / (2y - 4)
at the point (5,6) the slope = y' = (4 - 10) / (12 - 4) = -3/4
So the equation of tangent line is y - 6 = -3/4( x - 5)
y = -3/4x + 39/4
so the y intercept = =3/4(0) + 39/4 = 39/4 Answer
and x intercept = -39/4 / - 3/4 = 13 Answer
Slope intercept is <em>y=mx+b</em>.
-6=34*8+(-6)
Please get another answer to be sure.