# Ex.15.2 Q1 Introduction to Graphs Solutions - NCERT Maths Class 8

## Question

Plot the following points on a graph sheet. Verify if they lie on a line

(a)

\(\rm{A(4,0),{{B}}(4,2),{{C}}(4,6),{{D}}(4,2.5)}\)

(b)

\(\rm{P(1,1),\;{{Q}}(2,2),\;{{R}}(3,3),\;{{S}}(4,4)}\)

(c)

\(\rm{K(2,3),\; L( (5,3),\;M(5,5),\;N(2,5)}\)

## Text Solution

**Reasoning:**

Consider \(x\)-axis and \(y\)-axis as a number line starting from (\(0,0\)). And locate the given points.

**Steps:**

(a) We can plot the given points and join the consecutive points on a graph paper as follows.

From the graph, it can be observed that the points \(A, B, C,\) and \(D\) lie on the same line.

(b) We can plot the given points and join the consecutive points on a graph paper as follows.

Hence, points \(P, Q, R,\) and \(S\) lie on the same line.

(c) We can plot the given points and join the consecutive points on a graph paper as follows.

Hence, points\( K, L, M, \)and \(N\) are not lying on the same line.