Step 1 :Rewrite the given equations in the form y = mx + b
Step 2 :Check if the slope m is \(\frac{1}{2}\) and the y-intercept b is 3
Step 3 :A: y = \(\frac{1}{2}\)x + \(\frac{3}{2}\) (incorrect)
Step 4 :B: slope is 2, not \(\frac{1}{2}\) (incorrect)
Step 5 :C: slope between points is -0.5, not \(\frac{1}{2}\) (incorrect)
Step 6 :D: y = \(\frac{1}{2}\)x + 3 (correct)
Step 7 :\(\boxed{D. -x + 2y = 6}\)