Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t. x =t' + t, y + 215 = 2x +12, t= 3 The slope of the curve at t = 3 is . (Type an integer or a simplified fraction.)