# What is slope? Explain the following concepts in detail. Use formulas or diagrams that could...

## Question:

What is slope? Explain the following concepts in detail. Use formulas or diagrams that could complete your description.

## The Slope of a Function:

The slope of a function is a very important parameter that can give us a lot of information about the function. For example, the demand function's negative slope tells us that the quantity demanded falls when the price rises.

## Answer and Explanation: 1

The slope of a function is the rate of change of the function. This means that the slope is the ratio of the change in the value of a function divided by the change in the input value of the function. This can be expressed as:

$$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$$