Slope Calculator

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X1
Y1
X2
Y2

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You can find the slope of a line and the quantities related to slope including the distance between two points, angle e.t.c using the slope formula calculator. This slope finder also provides a separate graph for every calculation.

How to the slope calculator?

To use this slope calculator follow these steps.

  1. Identify the values of X1X_1X2X_2, Y1Y_1, and Y2Y_2  from the available set of coordinates.
  2. Enter these values in the labeled boxes.
  3. Press enter or click calculate.
Slope (m) 0
Angle (deg) 0
ΔX 0
ΔY 0
Distance 0

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What is Slope?

In literal terms, slope refers to the steepness and direction of a line. This term is used in coordinate geometry. The vector form of the slope is called gradient.

The calculation of slope involves two pairs of coordinates. Each of these pairs has two values, one is of the horizontal axis while the other is of the vertical axis.

Slope formula:

For two general points: (X1,Y1)\left(X_1,Y_1\right),(X2,Y2)\left(X_2,Y_2\right), the formula of the slope would be given as follows.

Slope = ΔyΔx\frac{\Delta \:y}{\Delta \:x}

= Change in Y / Change in X

= (Y2Y1),(X2X1)\left(Y_2-\:Y_1\right),\left(X_2-X_1\right)

This formula tells us that slope is the ratio of the difference between vertical coordinates and the difference between horizontal coordinates.

How to calculate slope?

Example:

Consider the following set of points;

(2,6)\left(2,6\right),(6,2)\left(6,2\right)

Find the slope of the line passing through these points.

Solution:

Step 1: Identify the values.

X1X_1 = 2

X2X_2 = 6

Y1Y_1 = 6

Y1Y_1 = 2

Step 2: Use the slope formula:

Slope = (Y2Y1),(X2X1)\left(Y_2-\:Y_1\right),\left(X_2-X_1\right)

Slope = (62),(62)\left(6-\:2\right),\left(6-2\right)

Slope = -1

 

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Luba T. Phillips | 06/08/2019

Your calculator measures true accurate values to measure slope of a given line.

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