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

** (i)** **(ii)** **(iii)** **(iv)**

**Solution (i)**

We first need to find 3 or 4 set of solutions for the given equation:

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Similarly, putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Therefore, four different solutions for equation are:

Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.

**Solution (ii)**

We first need to find 3 or 4 set of solutions for the given equation:

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Similarly, putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Therefore, four different solutions for equation are:

Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.

**Solution (iii)**

We first need to find 3 or 4 set of solutions for the given equation:

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Similarly, putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Four different solutions for equation are:

Now, we plot all these four points on the Cartesian plane. When we join these points, it makes a straight line.

**Solution (iv)**

We first need to find 3 or 4 set of solutions for the given equation:

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Similarly, putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Putting in the equation , we get

Therefore, is one of the infinite possible solutions.

Four different solutions for equation are: