Draw the graph for each equation, given below :

(i) x = 5

(ii) x + 5 = 0

(iii) y = 7

(iv) y + 7 = 0

(v) 2x + 3y = 0

(vi) 3x + 2y = 6

(vii) x - 5y + 4 = 0

(viii) 5x + y + 5 = 0

(i) x = 5

(ii) x + 5 = 0

x = -5

(iii) y = 7

(iv) y + 7 = 0

y = -7

(v) 2x + 3y = 0

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -1, then 2 $\times$ (-1) + 3y = 0 ⇒ y = 0.6

Let x = 0, then 2 $\times$ 0 + 3y = 0 ⇒ y = 0

Let x = 1, then 2 $\times$ 1 + 3y = 0 ⇒ y = - 0.6

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

(vi) 3x + 2y = 6

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -1, then 3 $\times$ (-1) + 2y = 6 ⇒ y = 4.5

Let x = 0, then 3 $\times$ 0 + 2y = 6 ⇒ y = 3

Let x = 1, then 3 $\times$ 1 + 2y = 6 ⇒ y = 1.5

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

(vii) x - 5y + 4 = 0

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -2, then (-2) - 5y + 4 = 0 ⇒ y = 0.4

Let x = 0, then 0 - 5y + 4 = 0 ⇒ y = 0.8

Let x = 2, then 2 - 5y + 4 = 0 ⇒ y = 1.2

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

(viii) 5x + y + 5 = 0

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -1, then 5 $\times$ (-1) + y + 5 = 0 ⇒ y = 0

Let x = 0, then 5 $\times$ 0 + y + 5 = 0 ⇒ y = -5

Let x = 1, then 5 $\times$ 1 + y + 5 = 0 ⇒ y = -10

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.