SOLUTION: Find the equation of the line that is tangent to the graph of y = x3 at the point (-2 , -8). Answer in the form: Ax + By + C = 0, where A, B and C are relatively prime integers a

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line that is tangent to the graph of y = x3 at the point (-2 , -8). Answer in the form: Ax + By + C = 0, where A, B and C are relatively prime integers a      Log On


   



Question 215945: Find the equation of the line that is tangent to the graph of y = x3 at the point (-2 , -8).
Answer in the form: Ax + By + C = 0, where A, B and C are relatively prime integers and A > 0.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line that is tangent to the graph of y = x3 at the point (-2 , -8).
Answer in the form: Ax + By + C = 0, where A, B and C are relatively prime integers and A > 0.
---------------
Slope at x = -2:
y' = 3x^2 = 12
---------------
Equation of line m = 12 thru point (-2,-8)
y = mx + b
-8 = 12*-2 + b = -24 + b
b = 16
y = 12x + 16
12x - y + 16 = 0