Step 1 :Given a linear function with slope \(m = \frac{1}{2}\) and y-intercept \(b = 3\)
Step 2 :The equation of the linear function is \(y = mx + b\)
Step 3 :Substitute the values of m and b: \(y = \frac{1}{2}x + 3\)
Step 4 :\boxed{y = \frac{1}{2}x + 3}