# From the choices given below, choose the equation whose graphs are given in Figure 4.6 and Figure 4.7For Fig 4.6 For Fig 4.7(i) y = x (i) y = x + 2(ii) x + y = 0 (ii) y = x - 2(iii) y = 2x (iii) y = -x + 2(iv) 2 + 3y = 7x (iv) x + 2y = 6

In figure 4.6,

Points plotted are (0, 0), (-1, 1) and (1, -1)

Now let us take equations one by one.
(i) y = x.
at x = 0, y = 0
at x = - 1, y = -1 [(-1, 1) point is not satisfied]
Therefore, the equation does not follow the graph.

(ii) x + y = 0
at x = 0, y = 0
at x = -1, y = 1
at x = 1, y = - 1
All the points are satisfied and Hence, the equation follows the graph.

(iii) y = 2x
at x = -1, y = - 2 [ (-1, 1) point is not satisfied]
Therefore, the equation does not follow the graph.
(iv) 2 + 3 y = 7 x
at x = 0, y = -2/3 [(0, 0) point is not satisfied]
Therefore, the equation does not follow the graph.

In figure 4.7, points are (-1, 3), (0, 2) and (2, 0)

Hence,

(i) y = x + 2
at x = - 1, y = 1 [(-1, 3) point is not satisfied]
Therefore, the equation does not follow the graph.
(ii) y = x - 2
at x = -1, y = -3 [(-1, 3) point is not satisfied]
Therefore, the equation does not follow the graph.

(iii) y = - x + 2
at x = -1, y = 3
at x = 0, y = 2
at x = 2, y = 0
Therefore, all the points are satisfied and the equation follows the graph.
(iv) x + 2 y = 6

at x = - 1, y = 7/2 [(-1, 3) point is not satisfied]
Hence, the equation does not follow the graph.

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