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Example 4: (a) Plot the following points on a Cartesian plane.

A (4, 1), B (–2, 3), C (–3, –2), and D (3, –4).
(b) In which quadrants do each of the above points lie?

Solution: (a) Y
4
B (–2, 3)
3

2
(4, 1) A
1

X –4 –3 –2 –1 O 1 2 3 4 X
–1

–2
C (–3, –2)
–3

–4
Y D (3, –4)
(b) Points Ordered pair Quadrant
A (4, 1) I

B (–2, 3) II
C (–3, –2) III

D (3, –4) IV

Example 5: Plot the points A(4, 1), B(–2, 1), C(–3, –2) and D(3, –2). Name the figure ABCD formed
by joining the points.
Solution: The figure formed on plotting points A, B, C, D and by joining them is a parallelogram.

Y
2
B(–2, 1) A(4, 1)
1

O
X′ –3 –2 –1 1 2 3 4 X
–1
–2
C(–3, –2) D(3, –2)
–3
Y′
Example 6: Plot the following points on a graph paper. Verify if they lie on a line.

(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)

319 Introduction to Graphs