Question

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

Answer 1

Answer:

Choice A: $(x,\frac{5}{2}x+ \frac{3}{2} )$. 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 $(x,y) = (x,\frac{5}{2}x+ \frac{3}{2} )$.

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