Question

Which linear inequality matches the given graph?

(1 point)
Responses

y>2x+2
y greater than 2 x plus 2

y<2x+2
y less than 2 x plus 2

y≥2x+2
y greater-than-or-equal-to 2 x plus 2

y≤2x+2

Answer 1

To determine which linear inequality matches the given graph, we would need to consider a few key characteristics from the graph:

1. **Slope and Y-Intercept**: The inequality will likely have the line in the form of \( y = 2x + 2 \). The slope (2) indicates how steep the line is, and the y-intercept (2) indicates where the line crosses the y-axis.

2. **Shading Direction**: If the area above the line is shaded, that would correspond to "greater than" inequalities (\( > \) or \( \geq \)). If the area below the line is shaded, that would correspond to "less than" inequalities (\( < \) or \( \leq \)).

3. **Line Type**: If the line is solid, it indicates that the inequality includes equal to (i.e., \( ≤ \) or \( ≥ \)). If the line is dashed, the inequality does not include equal to (i.e., \( < \) or \( > \)).

Based on these points, you would need to analyze the graphical characteristics to choose the correct inequality from the options given.

- If the line is solid and the area above is shaded, the correct inequality would be \( y ≥ 2x + 2 \).
- If the line is solid and the area below is shaded, the correct inequality would be \( y ≤ 2x + 2 \).
- If the line is dashed and the area above is shaded, the correct inequality would be \( y > 2x + 2 \).
- If the line is dashed and the area below is shaded, the correct inequality would be \( y < 2x + 2 \).

Without seeing the graph, I can’t give you a definitive answer. However, you should be able to use these guidelines to find the matching inequality.