Answer
h(x) = $\frac{1}{2}$x + 3
Work Step by Step
1. Remember we are writing the function in the form f(x) = ax+b.
2. Since a = rate of change and rate of change in this case = $\frac{1}{2}$, we have h(x) = $\frac{1}{2}$x+b.
3. Since the initial value is the value when x = 0 (the y-intercept), which = b, we know that b = 3
4. We now have h(x) = $\frac{1}{2}$x + 3
