Question

Use the image to answer the question.

A coordinate plane shows a graph of an upward-sloping, diagonal, dashed line, with shading extending from the line to the left. The line starts in quadrant 3, extends through quadrant 4, and ends in quadrant 1.
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Image Long Description

Is the point (0, −3)
a solution to the inequality y>45x−3
, as shown on the graph?

(1 point)

Yes, because (0, −3)
falls on the dashed boundary line.

No, because (0, −3)
falls within the shaded region.

Yes, because (0, −3)
falls within the shaded region.

No, because (0, −3)
falls on the dashed boundary line.
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Answer 1

No — because (0, −3) lies on the dashed boundary line. Substituting gives −3 > 45(0) − 3 → −3 > −3, which is false, so the point is not a solution.