In this blog we are going to learn about the slope of a line .As line is defined through the equation as y = m x + c have some variable that are defining different meanings. As in the equation variable y defines the coordinate on the y axis and as well as x defines the x coordinate on the x axis. There are two more variables that are m and c where c is defining the intercept means the point where line cuts the y axis .Another variable m defines the slope of the line it is also known as the Gradient of the line. It expresses the steepness of the line that means how much line inclined. If there is a line y = m x + c then the formula for slope of line is defined as: (know more about Slope , here)
m = y2 – y1 / x2 – x1 that means slope of the line is expressed as the ratio of change in the coordinate of y axis to the change in the coordinate of x axis. ( if the value of x1 and x2 are equal then it will not represent the line).
It is also define in terms of angle that is created between the line and the x axis. So the tangent of the angle is defining the slope of the line. If the created angle between the line and the x axis is Ã¢ÂÂthen the slope of that line is expressed as m = tan Ã¢ÂÂ.
As example if the angle is of 45’then find the slope of the line is calculated as
m = tan 45’
m = 1. (So the value of the slope is for the line is 1).
Pythagorean Theorem worksheet has the several examples to understand the Pythagorean Theorem.
CBSE math syllabus provided by the CBSE boards describe all the topics of maths for students of the class they are belongs.