Previously we have discussed about length of an arc calculator and In today’s session we are going to discuss about How to use slope formula,

When a line, surface or curve intersects or crosses any of the axis in a 2D plane then that point of intersection of line on particular axis is known as intercept, like if line crosses x – axis than **x intercept** or if line crosses y -axis than y -intercept.

The x- intercepts and y -intercepts are required while doing the graphing of any algebraic linear equation. While talking about x-intercept and y- intercept for any algebraic linear equation, one thing is to be remembered that at x- intercept all the y – points of algebraic equations are zero and similarly at y – intercept all the x -points of algebraic equations are zero. For graphing any straight line on 2D plane, co-ordinates of x and **y intercepts** is required.(Know more about slope in broad manner, here,)

Let us talk about the slope of the line. For calculating the slope of any line following **slope formula** is used:

M= y2 – y1 / x2 -x1

Here ‘M’ denotes the slope of the line and (x1, y1) , (x2, y2) are two endpoints of the line. Let us take the **slope formula** example of an algebraic linear equation and calculate x, y intercept and slope of the line.

Suppose equation of line is as: x^{2} + 2y^{2} = 4

than at x- intercept —>

x^{2} = 4

x = +2 or -2

at y- intercept —->

2y^{2} = 4

y^{2} = 2

y = +√2 or -√2

Now the endpoints of line are ( +2 , +√2 ) , ( -2, -√2 )

So the slope of the line by** slope formula** is —>

M= (y2 – y1) / (x2 -x1)

M =( -√2 – √2)/ (-2 – 2)

—>(- 2√2)/ (-4)

—> √2/2

—->1/√2

In the next session we will discuss about Slope formula for Graphing and You can visit our website for getting information about physics problems and cbse textbooks for class 10.