Which set of points includes all of the solutions for y = 5/2x + 3/2?

(insert graph here)

a: (x, 5/2x + 3/2) for all real numbers
b: (−1, −1), (0, 1.5), (1, 4)
c: (x, y) for all real numbers
d: (−3, −6), (−2, −3.5), (0, 1.5), (2, 6.5), (3, 9)

Choice A: . for all real numbers.

Step-by-step explanation:

We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points .

Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.

The same goes for choice D.

And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to  y = 5/2x + 3/2