Question

How do you prove that the slope of f(x)=c is 0 using the difference quotient? I tried it and got 1.

Answer 1

The slope is
\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{f(x_2) - f(x_1)}{x_2 - x_1} = \frac{c - c}{x_2 - x_1} = ... what? \]

Answer 2

can you show me using the difference quotient ?

Answer 3

This is the difference quotient:
\[ \frac{f(x_2) - f(x_1)}{x_2 - x_1} \]

Answer 4

really? i thought it was