Question

HELP!!!!!! Can someone help me write a system of linear inequalities to represent the graph? I'm having trouble since the one line is on the y-axis.

Answer 1

• x ≤ 0
• y ≤ 3/4x -5

Explanation:

The equation for the y-axis is x = 0. Your shading is to the left of that, so the inequality will be x ≤ 0.

The blue line has a rise of 3 for a run of 4, so its slope is 3/4. It intercepts the y-axis at y=-5, so the slope-intercept equation for that line is y = 3/4x -5. Since the shading is below that solid line, the inequality is ...

y ≤ 3/4x -5