Equation of line is the algebraic form of the representation of the set of points which ultimately together will help in forming out the line into the coordinate system. Numerous points together form a line into the coordinate axis and can be perfectly represented as the set of variables in the form of X, Y to formulate the best possible equation which will be referred to as the equation of a line. The utilisation of any kind of equation of line will ultimately allow the people to have access to the given points if they lie on the line or not. The equation of a line is considered to be the linear equation with a degree of one and further being clear about some of the technicalities in the whole process is important.
The equation of line can be perfectly formulated with the help of the slope of the line and a point on the line and further understanding the slope and the needed point it is important for people to be clear about the formation of the equation.
The slope of the line is considered to be the inclination of the line with a positive X-axis which can be perfectly expressed as the numeric integer, fraction or tangent of the angle in the whole process. The point will be referring to the coordinate system with the x-coordinate and the y-coordinate in the whole process.
So, because of both of the above-mentioned points, the general form of the equation can be considered as Y – Y1 = M into X – X1. Further, this particular equation can be perfectly solved and simplified into the standard format of the equation of the line which has been perfectly explained as follows:
The standard format of the equation of line will be AX + BY + C is equal to 0 where A and B are the coefficients, X and Y are the variables and C is the constant term.
Following are some of the basic quick rules to be followed by people at the time of writing out the standard equation of the line:
- X term will be written first which will be perfectly followed by Y term and finally the constant term has to be written in the whole process.
- The coefficients and the constant values should not be written as the fractions of decimals and they should be written as integers in the whole process.
- The value of A as the coefficient of X will always be written as a positive integer in the whole process.
Different forms of the equation of line have been perfectly explained as follows:
In the cases of the equation of a line using the points low form the equation will come out to be Y – Y1 = M into X – X1
In the cases of straight-line equation using two-point form the equation will come out to be Y2 – Y1/X2 – X1 into X – X1
In the case of the equation of the line using the slope-intercept form it will come out to be Y is equal to MX + C and the best part is that this particular concept is having great applications in the world of mathematics and engineering.
Straight-line format using the intercept form will be X/A + Y/B is equal to 1.
In the cases of normal form, the question of the line will come out to be X cost Theta plus Y sin theta = P.
Hence, being clear about all the above-mentioned technicalities is important and apart from this depending upon platforms like Cuemath is the best way of having a good command over the topic of equation of circle in mathematics.