What Are the Basic Things Which the Students Should Definitely Know About the Equation of a Line?

The equation of line is considered to be available into different kinds of standard forms which are explained as follows:

  • The slope-intercept form
  • The intercept form
  • The normal form

Every form comes with several kinds of formulas in the whole process which the students need to be clear about so that they can solve the questions very easily and accurately which will further allow them with several kinds of advantages in the whole process. The general equation of the line will be considered into the two variables of the 1st° and will be represented as:

 AX plus BY plus C is equal to 0.

In this particular case A, B, C will be constant that will belong to the real numbers and will be representing the equation very well. In case the equation has been represented on the graph then the people will get a straight line. Apart from this, it is the responsibility of the parents to enrol their children’s on platforms like Cuemath where they will be taught perfectly about the equation of the line, equation of circle and several other kinds of things so that students never have to face any kind of hassle and unable to solve the questions in the examination promptly that will ultimately provide them with good marks at the end.

  • The slope-intercept form: This is considered to be one of the best possible forms of the equation of a straight line and will be given as:

 Y is equal to MX plus C

Here M will be indicating the slope of the line and C will be the Y-intercept.

  • The intercept form: This is considered to be a form of the equation of the line in which the line will cross The X or Y axis and if the line is cutting at the X-axis then the Y-axis will be A,0 and 0, B respectively. Then the equation of the line will be making intercept is equal to A and B on both of the axis and the equation has been explained as follows:

 X/A plus Y/B is equal to 1

This is considered to be one of the best possible forms of the equation of the line and is very much important for the kids to be remembered so that they can solve questions when easily.

  • The normal form: This is considered to be the equation of the line whose length of the perpendicular from the origin will be P and the angle made by the perpendicular will be given as follows:

 X into cos into alpha plus Y into sine into alpha is equal to P

This is considered to be the trigonometric form of the equation and will also help in making sure that students will be able to solve the questions very easily with the help of this particular concept. Being clear about all these kinds of formulas is considered to be one of the best possible aspects to be taken into consideration by the students because this is the only thing that will allow them to solve questions in the examination without any kind of problem. Apart from this being clear about the equations of the horizontal and vertical lines is also very much important because these will be parallel to one of the axis and being clear about this concept is further very vital.

Also, the kids need to be clear about the concept of point-slope from the equation of the line because this will help in making sure that plotting of the points on the graph will be undertaken very easily and without any kind of hassle. Whenever the students will be clear about these kinds of concepts they will be making sure that floating on the graph will become easy and they will further be able to solve different kinds of questions without any kind of problem in the whole process.

Leave a Comment