does the equation y=2x+3 represent a proportional relationship? explain.

Answer:
No, it does not represents a proportional relationship.
Step-by-step explanation:
Here, the given equation,
y = 2x + 3
This equation will represent a proportional relationship,
If value of y is directly proportional to x,
⇒ y ∝ x
⇒ y = kx
Thus, the equation in the form of y = kx (i.e. a line that passes through the origin ) will have a proportional relation,
But, y = 2x + 3 does not passes through the origin (because 0 ≠ 2(0) + 3)
Hence, y = 2x+3 does not represent a proportional relationship.