- #1

nycmathguy

- Homework Statement
- Find slope of the secant line.

- Relevant Equations
- f(x) = x^3

Slope of a Tangent Line For f (x) = x^3.

(a) Find the slope of the secant line containing the points (2, 8) and (3, 27).

(b) Find the slope of the secant line containing the points (2, 8) and (x, f (x)), where x does not equal 2.

For (a), I just have to find m, the slope using m = delta (x)/delta(y). You say?

Can someone explain part (b)?

We are given the point (x, f(x)).

I know that y = f(x). We are given f(x) = x^3.

From this piece of information, I developed the point (x, x^3). What's next?

If my understanding for parts (a) and (b) is wrong, I need someone to put my feet in the right direction. DO NOT SOLVE the problem in my stead.

Thanks

(a) Find the slope of the secant line containing the points (2, 8) and (3, 27).

(b) Find the slope of the secant line containing the points (2, 8) and (x, f (x)), where x does not equal 2.

For (a), I just have to find m, the slope using m = delta (x)/delta(y). You say?

Can someone explain part (b)?

We are given the point (x, f(x)).

I know that y = f(x). We are given f(x) = x^3.

From this piece of information, I developed the point (x, x^3). What's next?

If my understanding for parts (a) and (b) is wrong, I need someone to put my feet in the right direction. DO NOT SOLVE the problem in my stead.

Thanks