Question

Draw the lines X' OX and YOY' as the coordinate axes on a paper and plot the following points on it.
(i) P(7, 4)
(ii) Q(−5, 3)
(iii) R(−6, −3)
(iv) S(3, −7)
(v) A(6, 0)
(vi) B(0, 9)
(vii) O(0, 0)
(viii) C(−3, −3)

Answer 1

Let X'OX and YOY' be the coordinate axes.
Fix a convenient unit of length and form point O, mark equal distances on OX, OX', OY and OY'. Use the convention of signs.

(i) Starting from O, take 7 units on the x-axis and then 4 units on the y-axis to obtain the point P(7,4).
(ii) Starting from O, take -5 units on the x-axis and then 3 units on the y-axis to obtain the point Q(-5,3).
(iii) Starting from O, take -6 units on the x-axis and then -3 units on the y-axis to obtain the point R(-6,-3).
(iv) Starting from O, take 3 units on the x-axis and then -7 units on the y-axis to obtain the point S(3,-7).
(v) Starting from O, take 6 units on the x-axis to obtain the point A(6,0).
(vi) Starting from O, take 9 units on the y-axis to obtain the point B(0,9).
(vii) Same as origin.
(viii) ​Starting from O, take -3 units on the x-axis and then -3 units on the y-axis to obtain the point C(-3,-3).