Question

Draw a graph for the following

Side of the square (in $cm$)	Perimeter (in $cm$)
$$\begin{gathered} 2 \\ 3 \\ 3.5 \\ 5 \\ 6 \end{gathered}$$	$$\begin{gathered} 8 \\ 12 \\ 14 \\ 20 \\ 24 \end{gathered}$$

Is it a linear graph?

Answer 1

Linear graph

A graph is said to be linear if all the points plotted lie on a straight line.

The given data is:

Side of the square (in $cm$)	Perimeter (in $cm$)
$$\begin{gathered} 2 \\ 3 \\ 3.5 \\ 5 \\ 6 \end{gathered}$$	$$\begin{gathered} 8 \\ 12 \\ 14 \\ 20 \\ 24 \end{gathered}$$

Let's represent the side of the square on $x-axis$ and the perimeter on the $y-axis$.

[Scale used: On $x-axis\Rightarrow 1unit=1cm$, On $y-axis\Rightarrow 1unit=4cm$]

Plotting the points $(2,8),(3,12),(3.5,14),(5,20),(6,24)$ on the graph

These points when plotted fall on a straight line as shown below.

Therefore, The graph thus formed is a linear graph.