Monday, April 1, 2013

Learn Online Slope Intercept

Introduction to learn slope intercept:

Slope:

The Slope can be defined as the ratio of the

rising value to the run value between two points on a line.
change in altitude to the horizontal distance between any two points on the line.
Slope of a line is explained with examples in online.

Intercept:

Intercept of a line is a  point at which a line, curve, or surface intersects an axis.
Intercept is an intercepted segment of a line.
Intercept of a line can be learning easily through online.

I like to share this Slope Intercept Form Equation with you all through my article.

Learn online slope:


In the given two points (x1,y1) and (x2,y2) on a line, the slope m of the line is given by

m = (y2 - y1) / ( x2 - x1 )

Example 1: Find the slope of the line segment joining the points (1, 2) and (13, 8).

Solution:

Let  (x1,y1) = (1, 2)

(x2,y2) =(13,8)

m = ( 8 - 2 ) / ( 13 - 1 )

m = 6 / 12

m = 1 / 2

m = 0.5

Therefore, the slope of a line is 0.5

Example 2: Find the slope of the line segment joining the points (6, 10) and (4, 20).

Solution:

Let (x1,y1) = (6,10)

(x2,y2) = (4,20)

m = ( 20 - 10 ) / ( 4 - 6 )

m = 10 / (-2)

m = -5

Therefore, the slope of a line is  -5

This is how we can learn slope of a line through online.


Learn online intercept:


X - intercept

The x-intercept of a line is defined as the point at which the line cuts the X-axis.

Y - intercept

The y-intercept of a line is defined as the point at which the line cuts the Y-axis.

The following example problem helps you to learn intercept through online.

Example: Find X and Y intercept of the equation 6x + 8y =24

To find X intercept, plug y =0

6x + 8(0) =24

6x =24

x = 24 / 6

x = 4

Therefore, X-intercept is ( 4,0 ).

To find y intercept , plug X=0

6x + 8y =24

6(0) + 8y =24

8y =24

y = 24 /8

y =3

Therefore, Y-intercept is ( 0,3 ).

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