If the co-ordinate of A is x and that of B is y, find d(A, B).

i. x = 1, y = 7

ii. x = 6, y = -2

iii. x = -3, y = 7

iv. x = -4, y = -5

v. x = -3, y = -6

vi. x = 4, y = -8

To find the distance between two points, consider their co-ordinates and subtract smaller co-ordinate from the larger.

(i) The co-ordinates of A and B are 1 and 7 respectively. We know that 7 > 1.

So, d (A, B) = 7 – 1 = 6

⇒ d (A, B) = 6

(ii) The co-ordinates of A and B are 6 and -2 respectively. We know that 6 > -2.

So, d (A, B) = 6 – (-2) = 6 + 2 = 8

⇒ d (A, B) = 8

(iii) The co-ordinates of A and B are -3 and 7 respectively. We know that 7 > -3.

So, d (A, B) = 7 – (-3) = 7 + 3 = 10

⇒ d (A, B) = 10

(iv) The co-ordinates of A and B are -4 and -5 respectively. We know that -4 > -5.

So, d (A, B) = (-4) – (-5) = -4 + 5 = 1

⇒ d (A, B) = 1

(v) The co-ordinates of A and B are -3 and -6 respectively. We know that -3 > -6.

So, d (A, B) = (-3) – (-6) = -3 + 6 = 3

⇒ d (A, B) = 3

(vi) The co-ordinates of A and B are 4 and -8 respectively. We know that 4 > -8.

So, d (A, B) = 4 – (-8) = 4 + 8 = 12

⇒ d (A, B) = 12