The correct answer would be y < -2x + 3.
We can tell that this is the answer in three ways:
1. The y-intercept is 3.
We can tell by looking at the graph, and because this inequality is in slope-intercept form, we know that + 3 is a correct portion of the equation.
2. The slope is negative.
This line is going from the top left to the bottom right, which means the slope is negative.
3. Y is LESS than the line.
If y is less than the equation for the line, then the shaded portion will be below the line. If y is GREATER than the line, the shaded portion will be above it.
Let me know if you have any more questions.
