The correct interpretation of the equation \( y = -2x - 8 \) is:
The slope is −2, the y-intercept is −8, and the line is falling from left to right.
This is because:
- The coefficient of \( x \) (which is -2) indicates the slope of the line, showing that it is negative.
- The constant term (-8) indicates the y-intercept, which is the point where the line crosses the y-axis.
- Since the slope is negative, the line indeed falls from left to right.