SOLUTION: What is the slope of the tangent to the curve y = x^2 – 6x + 9 at the point where x = 2

Algebra ->  Functions -> SOLUTION: What is the slope of the tangent to the curve y = x^2 – 6x + 9 at the point where x = 2      Log On


   

Question 637443: What is the slope of the tangent to the curve y = x^2 – 6x + 9 at the point where x = 2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

y = x^2 – 6x + 9     

y ' = 2x+-+6  when x = 2  ⇒   y' = -2, the slope m of the tangent line

   y = mx + b

  y = -2x + b   ||Using Pt(2,1) to find b   |Note: when x = 2, y = 1   

  1 = -4 + b

  5 = b

  y = -2x + 5