To analyze the equation \( y = -2x - 8 \):
- Identify the slope: The coefficient of \( x \) is \( -2 \), which indicates that the slope is \( -2 \).
- Identify the y-intercept: The constant term is \( -8 \), meaning the y-intercept is \( -8 \).
- Determine the direction of the line: Since the slope is negative (\( -2 \)), the line falls from left to right.
Putting this all together, the correct interpretation of the equation is:
The slope is \( -2 \), the y-intercept is \( -8 \), and the line is falling from left to right.