![]() ![]() Step 2: To graph an equation manually, first convert it to the form y=mx+b by solving the equation for y.Step 1: To graph a linear equation with two variables, we graph both equations.The following are the steps to graphing linear equations in two variables: If the system has a solution, then it is said to be consistent otherwise, it is said to be inconsistent. Sometimes, the lines might coincide with each other leaving each point on that line as a solution resulting in the given system having an infinite number of solutions. The lines plotted on the graph can either intersect each other at one point or be parallel to each other resulting in no solution. Graphing linear equations in two variables is done in a similar manner as one variable. Graphing Linear Equations in Two Variables See the values of x and y in the following table: x Step 5: Join all the points which are marked on the graph paper and get a straight line that represents the given linear equation graphically.Step 3: Apply the trial and error method and find 3 pairs of values of (x, y) that satisfy the given linear equation x=7-2y.For that, put y = 0 in the equation: x = 7-2(0), x=7. Step 2: Find the x and y-intercept respectively.Step 1: Check if the given linear equation x+2y=7 is of the form of y = mx + b.Solution: We will follow the following steps: Join all the points which are marked on the graph and you will get a straight line representing the given linear equation graphically.Įxample: Draw a graph of the linear equation x+2y=7.Plot all the points on the graph paper.Make a tabular form and put the value of x and y respectively. Thus, the points are (a, 0) and (0, c).This results in x = a, for x-intercept, substitute the value of y = 0 in the equation. For y-intercept, substitute the value of x = 0 in the equation. Find the x-intercept and y-intercept of the equation.Apply the trial and error method and find the value of (x, y) up to three pairs, which satisfy the linear equation.Make sure the linear equation is in y-intercept form, which is y = mx + b.The following steps are to be taken up for plotting a linear equation with one variable: Hence, it is advised to plot one more point to ensure that the solutions obtained for the given linear equation are correct. However, we cannot find out if there are any mistakes in obtaining these values as the two points can always be joined and represented as a line. While plotting the equation on a graph, the two pairs (x,y) are sufficient. Graphing a linear equation is about solving the linear equations and representing the solution in a coordinate plane. The point where any line crosses the y-axis on the graph - Y-Intercept.The point where any line crosses the x-axis on the graph - X-intercept. ![]() The graphing of linear equations helps in solving many real-life problems in linear programming. The graph of a linear equation in one variable x forms a vertical line that is parallel to the y-axis and vice-versa, whereas, the graph of a linear equation in two variables x and y forms a straight line. Similarly, all linear equations create a straight line on the graph with both one or two variables. Here, the equation x+2y=7 makes a straight line on the graph. We have to represent the equation x+2y=7 in a graph. Let us see an example of graphing a linear equation with one variable. The representation of a linear equation on a graph is called graphing linear equations shown as a straight line with one or two variables. We represent the linear equation in y=mx+b form, also known as the y-intercept form. Linear equations are algebraic equations in which each term has a real constant and the equation contains 2 variables of the highest power 1. ![]()
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