Draw the graph of each of the following equations:
(i) y = x
(ii) y = -x
(iii) y + 3x = 0
(iv) 2x + 3y = 0
(v) 3x – 2y = 0
(vi) 2x +y =0
(i) The given equation is y = x
Let x = 1, then y = 1 and let x = 2, then y = 2
Thus, we have the following table:
x | 1 | 2 |
y | 1 | 2 |
Plot points (1,1) and (2,2) on a graph paper and join them to get the required graph.
(ii) The given equation is y = -x
Now, if x = 1, y = -1 and if x = 2, y = -2
Thus, we have the following table:
x | 1 | 2 |
y | -1 | -2 |
Plot points (1,-1) and (2,-2) on a graph paper and join them to get the required graph.
(iii) The given equation is y + 3x = 0
⇒ y = -3x
Now, if x = -1, then y = -3 × (-1) = 3
And, if x = 1, then y = -3 × 1 = -3
Thus we have the following table:
x | 1 | -1 |
y | -3 | 3 |
Plot points (1,-3) and (-1,3) on a graph paper and join them to get the required graph.
(iv) The given equation is 2x + 3y = 0
y = 
x
Now, if x = 3, then
y = 
× 3 = -2
And, if x = -3, then
y = 
× (-3) = 2
Thus, we have the following table
x | 3 | -3 |
y | -2 | 2 |
Plot points (3,-2) and (-3,2) on a graph paper and join them to get the required graph.
(v) The given equation is 3x - 2y = 0
y = 
x
Now, if x = 2,
y = 
× 2 = 3
And, if x = -2,
y = 
× (-2) = -3
Thus, we have the following table:
x | 2 | -2 |
y | 3 | -3 |
Plot points (2,3) and (-2,-3) on a graph paper and join them to get the required graph.
(vi) The given equation is 2x + y = 0
⇒ y = -2x
Now, if x = 1, then y = -2 × 1 = -2
And, if x = -1, then y = -2 × (-1) = 2
Thus, we have the following table:
x | 1 | -1 |
y | -2 | 2 |
Plot points (1,-2) and (-1,2) on a graph paper and join them to get the required graph.
