Draw the graph of each of the following linear equations in two variables:

Question 1: Draw the graph of each of the following linear equations in two variables: (i) x + y = 4 (ii) x – y = 2 (iii) y = 3x (iv) 3 = 2x + y

Answer:

(i) x + y = 4

It can be observed that x = 0, y = 4 and x = 4, y = 0 are solutions of the above
equation. Therefore, the solution table is as follows.

The graph of this equation is constructed as follows.

(ii) x – y = 2

It can be observed that x = 4, y = 2 and x = 2, y = 0 are solutions of the above
equation. Therefore, the solution table is as follows.

The graph of the above equation is constructed as follows.

(iii) y = 3x

It can be observed that x = −1, y = −3 and x = 1, y = 3 are solutions of the above
equation. Therefore, the solution table is as follows.

The graph of the above equation is constructed as follows.

(iv) 3 = 2x + y

It can be observed that x = 0, y = 3 and x = 1, y = 1 are solutions of the above
equation. Therefore, the solution table is as follows.

The graph of this equation is constructed as follows.