How does a graph help in determining the proportional relationshi… - Vidyadip

Question

How does a graph help in determining the proportional relationship between two quantities?

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Answer

However, if a graph is plotted between pressure and inverse of volume, the graph line is a straight line as illustrated in figure. From the straight line graph we can say:
Pressure is inversely proportional to volume.

Similarly, if a graph is plotted between length and time period of a simple pendulum, the graph line is a curve, which has a tendency to meet X-axis or Y-axis when produced towards origin, as shown in the figure.

From the figure, it is clear that length of a simple pendulum is not proportional to its time period.
However, if a graph is plotted between length and (Time)z, the graph line is a straight line. Thus, we can say:
From the above discussion it is very clear that graph line helps to determine the nature of proportional relationship between two variable quantities.

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