Q.5. From the choices given below, choose the equation whose graphs are given in Fig. 4.6 and Fig. 4.7.

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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

Solution:

In fig. 4.6, points on the line are (0, 0), (-1, 1) and (1, -1). If we put all these points in equation the four given equations, we see that LHS and RHS are equal for equation (ii) x + y = 0 for all the value of the points. Therefore this is the correct equation.

In fig. 4.7, points on the line are (-1, 3), (0, 2) and (2, 0). If we put all these points in equation the four given equations, we see that LHS and RHS are equal for equation (iii) y = -x + 2 for all the value of the points. Therefore this is the correct equation.