Use the image to answer the question.

Question

Which equation matches the inequality in the given graph?

(1 point)
Responses

y≥45x−3
y is greater than or equal to 4 fifths x minus 3

y>45x−3
y is greater than 4 fifths x minus 3

y≤45x−3
y is less than or equal to 4 fifths x minus 3

y<45x−3
y<45x−3
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Answer 1

To select the correct equation that matches the inequality represented in the graph, you need to consider:

1. The type of line shown in the graph (solid or dashed):

   • A solid line means "greater than or equal to" (≥) or "less than or equal to" (≤).
   • A dashed line means "greater than" (>) or "less than" (<).

2. The shading of the graph:

   • If the region above the line is shaded, that means the inequality is "greater than" or "greater than or equal to."
   • If the region below the line is shaded, that means the inequality is "less than" or "less than or equal to."

Without seeing the graph, I can't definitively choose an option. However, based on typical scenarios:

• If the line is solid and shaded above: y ≥ 45x − 3
• If the line is dashed and shaded above: y > 45x − 3
• If the line is solid and shaded below: y ≤ 45x − 3
• If the line is dashed and shaded below: y < 45x − 3

You will need to match your observations with these guidelines. If you provide a description of the graph, I can help you identify the correct option.