Class 8 - Mathematics
Introduction to Graphs - Exercise 15.2

Top Block 1
Question :1. Plot the following points on a graph sheet. 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)
Answer :

(b) P, Q, R and S points also make a line. It verifies that these points lie on a line.
(c) These points do not lie in a straight line.
Question :2. Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Answer :

Mddle block 1
Question :3. Write the coordinates of the vertices of each of these adjoining figures.

Answer :
Vertices of figure OABC
O (0, 0), A (2, 0), B (2, 3) and C (0, 3)
Vertices of figure PQRS
P (4, 3), Q (6, 1), R (6, 5) and S (4, 7)
Vertices of figure LMK
L (7, 7), M (10, 8) and K (10, 5)
Question :4. State whether True or False. Correct that are false.
(i) A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
(ii) A point whose y co-ordinate is zero and x-coordinate is 5 will lie on y-axis.
(iii) The coordinates of the origin are (0, 0).
Answer :
(i) True
(ii) False, it will lie on 𝓍−axis.
(iii) True