Question

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

x – y = 2

Answer 1

x − y = 2

Rewrite the equation as,

⇒ y = x − 2   ...(1)

By substituting the different values of x in the equation (1) we get different values for y.

When x = 0, we have y = 0 − 2 = − 2

When x = 2, we have y = 2 − 2 = 0

When x = 4, we have y = 4 − 2 = 2

Thus, we have the following table with all the obtained solutions:

x	0	2	4
y	−2	0	2

By Plotting the points (0, –2), (2, 0) and (4, 2) on the graph paper and drawing a line joining the corresponding points, we obtain the Graph.

The graph of the line represented by the given equation is as shown.