Plot the points (3,5) and (-1,3) on a graph paper and verify that the straight line passing through these points also passes through the point (1,4).

A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digit are x and y respectively, write the linear equation representing the above statement.

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten’s digit of the number of x and y respectively, then write the linear equation representing the above statement.

From the choices given below, choose the equation whose graph in Fig. 13.13.

(i) y = x

(ii) x+y=0

(iii) y=2x

(iv) 2+3y=7x

[Hint: Clearly, (-1,1) and (1,-1) satisfy the equation x+y=0]

From the choices given below, choose the equation whose graph is given in Fig. 13.14

(i) y=x+2

(ii) y=x-2

(iii) y=-x+2

(iv) x+2y=6.

[Hint: Clearly, (2,0) and (-1,3) satisfy the equation y=-x+2]