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

Answer 1

To determine which equation matches the inequality in the given graph, we need to consider the characteristics of the graph's line and the shading:

1. If the line is solid, it indicates that the inequality is either "greater than or equal to" (≥) or "less than or equal to" (≤).
2. If the line is dashed, it indicates the inequality is either "greater than" (>) or "less than" (<).
3. If the area above the line is shaded, it suggests that the inequality is greater than (>) or greater than or equal to (≥).
4. If the area below the line is shaded, it suggests that the inequality is less than (<) or less than or equal to (≤).

Based on these characteristics, you should choose the appropriate equation that matches the graph's line type and shading.

Without seeing the graph itself, it is impossible to give a definitive answer. However, you can determine which of the four options is correct by using the steps above.