When \(e^{2y}\) is plotted against \(x^2\), a straight line graph passing through the points \((4,7.96)\) and \((2,3.76)\) is obtained.

(a) Find \(y\) in terms of \(x\).

(b) Find \(y\) when \(x=1\).

(c) Using your equation from part (a), find the positive values of \(x\) for which the straight line exists.