1) The graph for $y \ge -2x + 5$ is correct. The line has a slope of -2 and y-intercept at (0,5). The region above the solid line is shaded because the inequality includes "greater than or equal to".
2) The graph for $y < 4x + 4$ is correct. The line has a slope of 4 and y-intercept at (0,4). The region below the dashed line is shaded because the inequality is strict "less than".
3) The graph for $y > -\frac{4}{5}x$ is correct. The line passes through the origin with a slope of -4/5. The region above the dashed line is shaded because the inequality is strict "greater than".
4) The graph for $y \ge -x + 1$ is correct. The line has a slope of -1 and y-intercept at (0,1). The region above the solid line is shaded because the inequality includes "greater than or equal to".
5) The graph for $y > 1$ is correct. The horizontal line at y=1 is dashed. The region above this line is shaded because the inequality is strict "greater than".
6) The graph for $y < \frac{7}{3}x - 5$ is correct. The line has a slope of 7/3 and y-intercept at (0,-5). The region below the dashed line is shaded because the inequality is strict "less than".
Parent Tip: Review the logic above to help your child master the concept of graphing linear inequalities worksheet.
