A game designer uses the linear inequality y - 2 >= -0.75(x + 4) to set a boundary...
Check the final answer first, then review the worked steps.
Problem
A game designer uses the linear inequality y - 2 >= -0.75(x + 4) to set a boundary area for a character in a new video game. Graph the inequality to model the area in which the character can roam.
Step-by-step solution
Rewrite the inequality in slope-intercept form: $y \ge -0.75x - 1$. The boundary line is $y = -0.75x - 1$, and the shaded region is above this line.
Answer
y >= -0.75x - 1