SOLUTION: Determine the slope of the tangent to y=1/1-x at the point (2,-1) without constructing a table. Explain what you are doing.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Determine the slope of the tangent to y=1/1-x at the point (2,-1) without constructing a table. Explain what you are doing.      Log On


   



Question 254180: Determine the slope of the tangent to y=1/1-x at the point (2,-1) without constructing a table. Explain what you are doing.
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
y=1/(1-x)
You need to get the slope of this line.
Put it in slope intercept format y=mx+b where m is the slope.
Your tangent will be a line perpendicular with a slope -1/m
All they asked for is the slope of the tangent.
Hard to believe but that is all.
You don't even have to find the equation for the tangent line.
The point (2,-1) is extra information which only serves to confuse the problem.
It would be useful for the equation of the tangent.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
y=1/1-x at the point (2,-1)
--------------
dy/dx = 1/(1-x)^2
@x = 2:
dy/dx = 1 = slope