How linear equation of two variable graph can be draw?

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Answer

Graphing a Linear Equation of Two Variables

A linear equation of two variables is an equation in the form of ax + by = c, where a, b, and c are constants and x and y are variables. Graphing such an equation helps us visualize the relationship between x and y and find solutions to the equation. Here's how you can draw the graph of a linear equation of two variables:

Step 1: Determine the Domain and Range

Before graphing the equation, it's essential to determine the domain and range. The domain represents all possible values of x, while the range represents all possible values of y. You can identify the domain and range by analyzing the coefficients of x and y in the equation.

Step 2: Find the x and y-intercepts

The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis. To find the x-intercept, set y = 0 and solve for x. Similarly, to find the y-intercept, set x = 0 and solve for y. These two points will help us in drawing the line.

Step 3: Plot the x and y-intercepts

Using the x and y-intercepts found in the previous step, plot these points on the coordinate plane. These points will lie on the line representing the linear equation.

Step 4: Connect the points

After plotting the x and y-intercepts, draw a straight line passing through these points. This line represents the graph of the linear equation. Ensure that the line extends beyond the plotted points to indicate its infinite nature.

Step 5: Check additional points

For accuracy, you can choose additional points and check if they lie on the line. Select any value for x (preferably an integer) and substitute it into the equation to find the corresponding value of y. Plot these points and check if they align with the line.

Step 6: Label the axes and the line

Finally, label the x and y-axes and the line with appropriate labels. The x-axis represents the values of x, the y-axis represents the values of y, and the line represents the linear equation.

By following these steps, you can accurately graph a linear equation of two variables and visualize the relationship between x and y on the coordinate plane.

Answer

As there are 2 variables put the independent values(1,2,3,4.....) in place of any of the variable. You have to do this atleast 2 times to both the equations then plot these values on the graph.

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