Slope Calculator

A slope describes the steepness of a line. It is also known as gradient. The slope or gradient of a straight line can be calculated when two co-ordinate points (x1,y1) and (x2,y2) are given. In this calculator, you can find the slope and equation of the straight line with two given points (two point slope form).


Find the Equation of the Straight Line with Two Points

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Formula:

Slope : m = (Y1 - Y2) / (X1 - X2) Equation of Straight Line : (Y - Y1) / (Y2 - Y1) = (X - X1) / (X2 - X1) Where, m = Slope X1 , X2 = X Axis Points Y1, Y2 = Y Axis Points

Example

Consider the co-ordinate points as (x1 , y1) as (1,2) and (x2 , y2) as (3,4).

Step 1:

Apply the values in the formula of slope.
(y1 - y2) / (x1 - x2) = ( 2-4 / 1-3). Simplify the values (-2) / (-2) and you will get the slope as 1.

Step 2:

To find the equation of straight line apply the co-ordinate values in the formula
(y - y1) / (y2 - y1 )= (x - x1) / (x2 - x1).
Equation = (y - 2) / (4 - 2) = (x - 1) / (3 - 1). Simplify the equation ( y - 2) / 2 = (x - 1) / 2.

Step 3:

Cross multiply the values, 2 (y - 2) = 2 (x - 1)

Step 4:

Simplifying, 2y - 4 = 2x - 2

Step 5:

Bring all the unknown values to the left and whole numbers to the right.
It will become as -2x + 2y = 2 which is the equation of the straight line.

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