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: x2 + 2y2 = 4
than at x- intercept —>
x2 = 4
x = +2 or -2
at y- intercept —->
2y2 = 4
y2 = 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)
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.