Q. 53.9( 152 Votes )

# From the choices given below, choose the equation whose graphs are given in Figure 4.6 and Figure 4.7

For 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

Answer :

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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