1. The problem asks which graph represents the solution set of the inequality $y > 4x - 3$. 2. The boundary line is given by the equation $y = 4x - 3$. 3. The inequality $y > 4x - 3$ means we want all points where the $y$-value is strictly greater than $4x - 3$. 4. Important rules for graphing inequalities: - Use a dashed line for strict inequalities ($>$ or $<$) because points on the line are not included. - Shade the region above the line for $y >$ and below the line for $y <$. 5. Applying these rules: - The boundary line should be dashed. - The shaded region should be above the line. 6. From the options: - A) shaded above, line solid (includes line) — incorrect because $>$ excludes the line. - B) shaded above, line dashed — correct. - C) shaded below, line solid — incorrect. - D) shaded below, line dashed — incorrect. 7. Therefore, the correct graph is option B. Final answer: The graph representing $y > 4x - 3$ is the one with a dashed boundary line and shading above the line (option B).