y2

y1
x2

x1

Slope

If you want to determine a line or steepness incline, you can use our slope calculator.

In mathematics, the slope, also known as the aline gradient, is defined as the quantity/number that specifies both the direction and the line's steepness. In other words, it is a number that is used to measure the steepness of a line. It can be used by finding the ratio between the variation in the y-coordinate by the variation in x- the coordinate.

 

Formula of Slope Calculator

To instantly find out the slope of an object, you can jump to our calculator. Or to find it manually, you can use the formula listed below:

\[m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]

Where,

m = Slope of a line

y2, y1 = Coordinates of y-axis

x2, x1 = Coordinates of x-axis

Example

For a more precise understanding of the concept, let us solve an example below:

If the y-coordinates and x-coordinates of a line are sequentially (3,8) and (11,6), find out the line's slope.

Given data

Coordinates of y-axis = y1, y2 = (3, 8)
Coordinates of x-axis = x1, x2 = (6, 11)

To Find

The slope of a line = ?

Solution

To find out the slope of a line, we will use the formula listed below:

\[m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]

Putting values in the formula:

\[m = \frac{{{8} - {3}}}{{{11} - {6}}}\]\[m = \frac{{{5}}}{{{5}}}=1\]

Note:

If you want to find out stride length, you can use our Stride Length Calculator.

How to use the Slope Calculator?

The steps to use the slope calculator are as follows:

Step 1: Enter the coordinates of the y-axis in the first required input.

Step 2: Enter the coordinates of the x-axis in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

Calculator use

You can use our slope calculator for various principles: finding unit cost, speed, and rates of change.