The two equations are: \(y = 2x+1\) and \(y - 3 = 2x - 2\). The first one is already in slope-intercept form, but the second one is not. We can simplify the second one to \(y= 2x+1\). Because the \(2\) equations are identical, they intersect at an \(\infty\) amount of points. This means that \(\color{brown}\boxed {t = \infty}\)