parallel lines share the same slope, so if the equation is asking for a parallel line, your answer must have a slope that matches. choices B and D can be ruled out by that logic, as (-2) and (-1/2) aren't the same as your given slope: 1/2.
to find the line that passes through the point (-2, 3), you'll want to use point-slope form: y - y1 = m(x - x1). your given point is (x1, y1) and your slope is 1/2, so plug all of your info in:
y - 3 = (1/2)(x + 2)
now, you must convert this to slope-intercept, y = mx + b. the first step is to distribute the 1/2 into your parentheses.
y - 3 = 1/2x + 1
y - 3 = 1/2x + 1 ... to isolate y, add 3
y = 1/2x + 4 should be your answer, but i see that it isn't an answer choice. it might be a glitch or a typing error in your program; i looked over my work for errors and i can't find one? i think you should ask your teacher for clarification if possible, and if not, i would choose A or C to submit your work to the best of your ability.