Question

Which linear inequality is represented by the graph?

Answer 1

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.

Answer 2

The last option is correct. It’s a negative slope and the shaded region is BELOW the line. Hence y is less than the equation