Question

Any point of the form (b, – b) always lie on the graph of the equation:
(i) x = - b
(ii) y = b
(iii) y = - x
(iv) x + y = b

Answer 1

Answer:

indicate the values of a, b and c in each case:

(i) 2x + 3y = 4.37 (ii) x – 4 = 3 y (iii) 4 = 5x – 3y (iv) 2x = y

Solution : (i) 2x + 3y = 4.37 can be written as 2x + 3y – 4.37 = 0. Here a = 2, b = 3

and c = – 4.37.

(ii) The equation x – 4 = 3 y can be written as x – 3 y – 4 = 0. Here a = 1,

b = – 3 and c = – 4.

(iii) The equation 4 = 5x – 3y can be written as 5x – 3y – 4 = 0. Here a = 5, b = –3

and c = – 4. Do you agree that it can also be written as –5x + 3y + 4 = 0 ? In this

case a = –5, b = 3 and c = 4.