# Difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$

### Your Input

**Find the difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$.**

### Solution

The difference quotient is given by $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h}$$$.

To find $$$f{\left(x + h \right)}$$$, plug $$$x + h$$$ instead of $$$x$$$: $$$f{\left(x + h \right)} = 10 \left(x + h\right) - 50$$$.

Finally, $$$\frac{f{\left(x + h \right)} - f{\left(x \right)}}{h} = \frac{\left(10 \left(x + h\right) - 50\right) - \left(10 x - 50\right)}{h} = 10$$$.

### Answer

**The difference quotient for $$$f{\left(x \right)} = 10 x - 50$$$A is $$$10$$$A.**