Rate of Change Calculator

The slope of a line is a rate of change:

( x_{1} , y_{1} ) ( x_{2} , y_{2} )

x_{1} =

y_{1} =

x_{2} =

y_{2} =

Rate of change (Slope or m) =

The rate of change calculator is a free online tool that gives the change in slope for the given input coordinate points. BYJU’S online rate of change calculator tool makes the calculations faster and easier where it displays the result in a fraction of seconds.

## How to Use the Rate of Change Calculator?

The procedure to use the rate of change calculator is as follows:

Step 1: Enter the X and Y coordinate points in the given input field. I.e., (x_{1}, y_{1}) and (x_{2}, y_{2})

Step 2: Now click the button “calculate Rate of Change” to get the output

Step 3: The result will be displayed in the output field

### What is the Rate of Change?

A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.

Where,

Rise is the vertical change between two points

Run is the horizontal change between two points

### Standard Formula

The standard form for the rate of change of slope, m is given by

Rate of change = Rise/ Run

= Δy / Δx

Therefore, the rate of change of slope =(y_{2} – y_{1}) / (x_{2} – x_{1})

Where

Δ represents the rate of change

(x_{1}, x_{2}) is the X coordinates

(y_{1}, y_{2}) is the Y coordinates

## Frequently Asked Questions on Rate of Change Calculator

Q1

### What is meant by slope?

The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.

Q2

### Can a slope be negative?

A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.

Q3

### What is the formula for the slope?

The formula to find the slope is

m = (y_{2} – y_{1}) / (x_{2} – x_{1})

Where

(x_{1}, x_{2}) is the X coordinates

(y_{1}, y_{2}) is the Y coordinates