Answer:
A
Explanation:
We have the equation:
![\displaystyle (3)/(8)y=2+x](https://img.qammunity.org/2022/formulas/mathematics/high-school/uh9qs0lqakh0uozda47hf0enjy8duz7wnx.png)
And we want to determine whether or not this represents a direct proportion.
First, let's solve for y. Multiply both sides by 8/3:
![\displaystyle y=(16)/(3)+(8)/(3)x](https://img.qammunity.org/2022/formulas/mathematics/high-school/e43uwo2i9j3gouku2ho24kj9tuyqa7norl.png)
Remember that direct proportions must pass through the origin point on a graph. In other words, their y-intercept or constant value is zero.
Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.
Our answer is A.