Question

Graph the inequality.



`y<x+5`

is it a dashed line? turn on shading or off? what are the corridnates please be sepsfic and add a answer summary

Answer 1

To graph the inequality \( y < x + 5 \), follow these steps:

1. **Graph the Boundary Line**:
- The boundary line for the inequality is \( y = x + 5 \). This is a straight line with a slope of 1 and a y-intercept of 5.
- To plot the line, you can choose two points:
- When \( x = 0 \):
\[
y = 0 + 5 = 5 \quad \text{(Point: (0, 5))}
\]
- When \( x = -5 \):
\[
y = -5 + 5 = 0 \quad \text{(Point: (-5, 0))}
\]
- Now, plot these points: (0, 5) and (-5, 0).
- Since the inequality is strict (\( < \)), we will draw a **dashed line**.

2. **Shade the Appropriate Region**:
- Since the inequality is \( y < x + 5 \), you will shade the area **below** the dashed line because we are interested in the values of \( y \) that are less than the values on the line.

3. **Key Features of the Graph**:
- **Dashed Line**: Yes, because the inequality does not include equality.
- **Shading**: On.
- **Coordinates**: The two specific points used to draw the boundary line are (0, 5) and (-5, 0).

### Answer Summary:
- The inequality \( y < x + 5 \) is represented by a dashed line due to it being a strict inequality.
- The shaded region is below the line, indicating where \( y \) values are less than \( x + 5 \).
- Important coordinates: (0, 5) and (-5, 0).