If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a

Draw the graph of each of the following linear equations in two variables:

(i)

(ii)

(iii)

(iv)

Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?

The taxi fare in a city is as follows: For the first kilo-meter the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.

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