# What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?

Relationship between time period($T$) and length ($L$) of the string of a pendulum is given as, $T = 2 \pi \sqrt{\frac{L}{g}}$ (where g is acceleration due to gravity on earth)
So,we can write, $T = 2 \frac{\pi}{\sqrt{g}} \sqrt{L}$
Now,compare this with $y = m x$
So, Graph of $T$ vs. $\sqrt{L}$ will be a straight line passing through origin,where slope=$\tan \theta$=$2 \frac{\pi}{\sqrt{g}}$