# Math Help - Can't rearrange this equation

1. ## Can't rearrange this equation

If I plot values of T^4 against d I obtain a straight lined gradient with an intercept.

I need to rearrange the following equation into the y=mx +c form where y =T^4 and x = d. K is a constant.

T^4 = 4pi^4 L K /g^2 - 8pi^4 Ld/g^2

If I identify m and c I can find values for K and g.

$T^4=\frac{4*\pi^4*L*K}{g^2}-\frac{8*\pi^4*L*d}{g^2}=-\frac{8*\pi^4*L}{g^2}*d+\frac{4*\pi^4*L*K}{g^2}$

$T^4=-\frac{8*\pi^4*L}{g^2}*d+\frac{4*\pi^4*L*K}{g^2}$

$m=-\frac{8*\pi^4*L}{g^2}
$

$c=\frac{4*\pi^4*L*K}{g^2}$

Have a nice day !

3. ## Thank you very much,

Had a Eurecka moment shortly after posting this and after making g squared the subject of m, rearranging c to find K and substituting g squared into k, the solution to K boiled down to an elegant 2c/m.