Ex.15.3 Q2 Introduction to Graphs Solutions - NCERT Maths Class 8
Question
Draw a graph for the following.
(i)
Side of square (in \(\rm{cm}\)) |
\(2\) |
\(3\) |
\(3.5\) |
\(5\) |
\(6\) |
Perimeter (in \(\rm{cm}\)) |
\(8\) |
\(12\) |
\(14\) |
\(20\) |
\(24\) |
Is it a linear graph?
(ii)
Side of square (in \(\rm{cm}\)) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
\(6\) |
Area (in \(\rm{cm}^2\)) |
\(4\) |
\(9\) |
\(16\) |
\(25\) |
\(36\) |
Is it a linear graph?
Text Solution
Reasoning:
A line graph which is a whole unbroken line is called a linear graph.
Steps:
(i) Choosing a suitable scale,
For \(x\)-axis, \(2\) unit \(= 1\, \rm{cm}\) and for \(y\)-axis, \(2\) unit \(= 5\, \rm{cm}\)
We can represent the side of a square on \(x\)-axis and the perimeter of that square on \(y\)-axis. A graph of the given data is drawn as follows.
It is a linear graph.
(ii) Choosing a suitable scale,
For x-axis, \(2\) unit \(= 1 \,\rm{cm}\) and for \(y\)-axis, \(2\) unit \(= 5\;\rm{cm}\)
We can represent the side of a square on the x-axis and the area of that square on \(y\)-axis. A graph of the given data is as follows.
It is not a linear graph.