Find the Inequality Represented by the Graph with a Dashed Line

Published on October 14, 2026

Algebra

The graph shows a dashed boundary line passing through (0, -3) and (3, -2) with the region above it shaded. By calculating the slope of 1/3 and testing a point, the inequality is determined to be y > (1/3)x - 3.

Question

inequality

Answer

Find the boundary line from the graph: it passes through and , so its slope is

Thus the line is

The line is dashed, so the inequality is strict: either or .
Testing , which lies above the line:

is true, so the shaded region is above the line.

Final answer:

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