G! aph: \( -5 x-y<4 \)

To graph the inequality \( -5x - y < 4 \), we can follow these steps: 1. **Rewrite the inequality**: First, we can rearrange the inequality into slope-intercept form (y = mx + b). \[ -y < 5x + 4 \] \[ y > -5x - 4 \] Note that we flipped the inequality sign when we multiplied by -1. 2. **Graph the boundary line**: The boundary line is given by the equation \( y = -5x - 4 \). To graph this line, we can find two points: - When \( x = 0 \): \[ y = -5(0) - 4 = -4 \quad \text{(Point: (0, -4))} \] - When \( x = 1 \): \[ y = -5(1) - 4 = -9 \quad \text{(Point: (1, -9))} \] Plot these points on the graph and draw a dashed line through them, since the inequality is strict (<), indicating that points on the line are not included in the solution. 3. **Shade the appropriate region**: Since the inequality is \( y > -5x - 4 \), you will shade the region above the line. This represents all the points where the y-value is greater than the corresponding y-value on the line. 4. **Final graph**: The final graph will show a dashed line representing \( y = -5x - 4 \) with the area above the line shaded. If you have graphing software or graph paper, you can plot this accordingly.