Slope Calculator

The slope calculator is designed to calculate the slope of line between two given points in the Cartesian coordinate system.

Related Square Root Calculator Inverse Matrix Calculator

How to Use the Slope Calculator?

  1. Firstly, input the values for the two-dimensional coordinate points (X1, Y1) and (X2, Y2).
  2. Press the 'Calculate' button.
  3. As a result, the tool shows the Slope (m), Angle (θ), Distance (d), ΔX, and ΔY results.

What is Slope?

The slope is the amount of slant that the line has. Its value can be zero, positive, negative, or undefined. Most importantly, two coordinate point values are needed to find the slope.

Slope Formula

The following formula is used to find the slope of the line.

m =  
y2 - y1
x2 - x1
   =  
ΔY
ΔX
   =  tan(θ)

Where,

m = Slope

(x1, y1) and (x2, y2) = Coordinate Points

tan(θ) = Angle of Incline

Slope Formula

Distance Formula

The following formula is used to find the distance.

Distance (d) = √(ΔX2 + ΔY2)

OR

Distance (d) = √(x2 - x1)2 + (y2 - y1)2

How to Find a Slope?

Let's take an example to understand the calculation.

Example:

Find the slope of line that passes through the Coordinate Points (x1, y1) = (5, 10) and (x2, y2) = (8, 18).

Here,
x1 = 5
y1 = 10
x2 = 8
y2 = 18

Now place the above values in the slope formula.

m =  
y2 - y1
x2 - x1
m =  
18 - 10
8 - 5
=  
8
3

= 2.6667

So, the Slope (m) = 2.6667.