It is a linear equation, hence it its graph will be in the form of a straight line.First you will have to find the values of x and y in different cases.For example: when x=3, y=1 Therefore, (x,y)=(3,1)After finding at least 3 values of x and y each in defferent cases, plot these ponts on the graph paper and join them.You will get a straight line depicting the graph of the quation x+y=4

Graph of Linear Equations in Two Variables: x * y = 4

To understand how the equation x * y = 4 can be represented graphically, we need to consider the relationship between the two variables, x and y.

Defining the Equation:
The equation x * y = 4 represents a relationship where the product of x and y is always equal to 4. This means that for any given value of x, we can find the corresponding value of y that satisfies the equation.

Graphing the Equation:
To graph the equation x * y = 4, we can create a table with different values of x and calculate the corresponding values of y that satisfy the equation. Let's consider a few values of x and calculate the respective values of y:

- When x = 1, y = 4/1 = 4
- When x = 2, y = 4/2 = 2
- When x = 4, y = 4/4 = 1
- When x = -1, y = 4/(-1) = -4
- When x = -2, y = 4/(-2) = -2
- When x = -4, y = 4/(-4) = -1

Plotting the Points:
Now, we can plot these points on a coordinate plane. The x-values are plotted along the x-axis, and the corresponding y-values are plotted along the y-axis. The points are (-1, -4), (1, 4), (2, 2), (4, 1), (-2, -2), and (-4, -1).

Connecting the Points:
To create a graph, we connect these points with a smooth curve. In this case, since the equation is x * y = 4, the graph will be a hyperbola. The curve will approach the x and y axes, but never actually touch them.

Graphical Representation:
We can visualize the graph of x * y = 4 as a symmetrical hyperbola, passing through the points (-1, -4), (1, 4), (2, 2), (4, 1), (-2, -2), and (-4, -1). The hyperbola opens towards the top-right and bottom-left quadrants.

Key Points:
- The equation x * y = 4 represents a relationship where the product of x and y is always equal to 4.
- The graph of x * y = 4 is a symmetrical hyperbola.
- The hyperbola passes through the points (-1, -4), (1, 4), (2, 2), (4, 1), (-2, -2), and (-4, -1).
- The hyperbola opens towards the top-right and bottom-left quadrants.