Graph the Linear Equation

Page 1

Graph the Linear Equation Graph the Linear Equation A linear equation is that expression in math which when plotted in coordinate system produces a straight line. Equations are not always linear; they can be of several types or geometries. Linear Equations can be defined as equations consisting of a polynomial whose variables are of first degree and can be made equals to zero. To understand algebra linear equations, first you have to be sure about the expression being evaluated, whether it is an equation or not. An equation is represented as an expression on one side (left) and on the other side of equal sign we may find a number or an expression. An equation may involve finding unknown variables. For example, if we have two linear equations given as: 5x + 4y = 10 and x + 4y = 2. To solve these equations for 'x' and 'y' we need to apply algebraic operations. Subtracting the second equation from first we get: 4x = 8 or x = 2. Substituting this value of 'x' in any of the two equations we get value of 'y' as y = 0. To graph the linear equation say 5x + 4y = 10 first you need to change the equation in general representation of a line: y = mx + c. Where, 'm' represents the slope of the equation and 'c' in y- intercept formed by the line while intersecting y – axis. So our equation after converting to general form looks like: y = (-5 / 4) x + (10 / 4). a linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. In simple mathematical manner we can say that any algebraic equation that when graphed produces a straight line, then the equation is called as Linear Equation. Know More About :- Column Addition

Math.Edurite.com

Page : 1/3


The general form of a linear equation in the two variables like x and y is..... y = mx + b where x and y are two variables and m and b are two constants. The constant m stands determines the slope or gradient of that line and the constant b shows the point at which line crosses the Y-axis. Constant b also known as Y-Intercept. The different conditions onto which linear equation stays are : Variables in a linear equation cannot have exponents or powers for example x squared. Variables cannot divide or multiply each other in a linear equation. Like xy or x/y. Variables Cannot be found under a root sign or square root sign for example ?x. Let's talk about graphs. Graph is a diagram that exhibits a relationship between two sets of numbers as a set of points having coordinates determined by the relationship. Also called plot. Graphs are used to show trends. Graph method to solve linear equation in two variables. The graph of every linear equation in two variables is a linear equation. In the given equation, 3x + y = 5. By putting different values of x we are able to get values for y as well which helps to make a graph for linear equation. Now I am going to discuss about Algebra in mathematics and the use of Algebra Problem Solver available Online in solving Algebra problems. Algebra is a branch of mathematics which deals in the study of the rules of operations and relations. It is a part of mathematics in which letters and symbols are used in place of numbers and quantities to form an equations and formula. Sometimes the expression to form becomes very complicated, then it is very difficult to solve such type of expressions. Various Algebra problem solvers are available in the Internet. With the help of College Algebra solver, we can solve algebra equations in a faster and better manner. It also provides an exact solution for the same. free math help is available over the Internet, which generates or gives answer to a specific math question or problem.While doing graphing of linear equations two concepts need to be kept in mind which are X and Y intercepts with slope formula. With the help of X and Y intercept the co-ordinates required to draw the graph of linear equation in respect of Cartesian axes is determined. Intercepts represent those interaction points at which the straight line or curve surface crosses the graph. In case of x intercept all the points of y in the linear equation are zero and in Y intercept conditions all the x points of equation are zero. With the help of this principle implementation the required Cartesian axes coordinates are calculated. Let us take an example for understanding the concept: X2 + y2 = 9. in case of x intercept y must be equal to zero, that means X2 = 9, X = (+3 and -3). Read More About :- Define Rational Numbers

Math.Edurite.com

Page : 2/3


Thank You

Math.Edurite.Com


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.