# Introduction to Graphs : Exercise 15.2 (Mathematics NCERT Class 8th)

**Q.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)**

**(a) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points lie on the same line.**

*Sol.*(b) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points lie on the same line.

(c) The given points are plotted on a graph as shown below:From the graph, it can be seen that the points do not lie on the same line.

**Q.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.
**

**The given points are plotted on a graph as shown below:From the graph, it can be seen that the line passing through (2, 3) and (3, 2) meets the x-axis at the point (5, 0) and the y-axis at the point (0, 5).**

*Sol.***Q.3 Write the coordinates of the vertices of each of these adjoining figures.**** Sol.** The coordinates of the vertices of each of the given figures are:

For figure OABC: O (0, 0), A(2, 0), B(2, 3), C(0, 3)

For figure PQRS: P (4, 3), Q(6, 1), R(6, 5), S(4, 7)

For figure KLM:Â K (10, 5), L(7, 7), M(10, 8)

**Q.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 coordinate is zero and x-coordinate is 5 will lie on y-axis.**

**(iii) The coordinates of the origin are (0, 0).**

**(i) True**

*Sol.*(ii) False

Correct statement: A point whose y coordinate is zero and x-coordinate is 5 will lie on x-axis.

(iii) TrueÂ Â

Superb. ........ It is helps us tq

Tq so much for leaving this post . Well done

Nice and thanks