How to arrange t^2 = 4pi^2 L/g in y=mx format?

Question

How do I derive formula to make L = y , t^2 = x and 4pi^2 L/g = m ?

A detailed answer would be very appreciated please and thank you ! :)

Answer 1

In my understanding you want to rewrite

t² = 4π²L/g

in a format, where L is the dependent variable, like y.

You do that by rewriting the given equation so that L appears on the

left hand side.

I do not know whether you need help with that, but let me just list all

the intermediate equations.

t² = 4π²L/g

gt² = 4π²L

gt²/4π² = L

L = gt²/4π²

Secondly you want to make the substitution

x = t²

In general, you would do that by replacing all occurrences of t with √x.

In this particular case that becomes very simple.

L = gx/4π²

So in your terminology

m = g/4π²