Question
What can you interpret about the equation y=−2x−8 ?(1 point)
Answers
GPT-4o mini
The equation \( y = -2x - 8 \) is in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
1. **Slope**: The slope \( m \) is -2. This means that for every 1 unit increase in \( x \), \( y \) decreases by 2 units. The negative sign indicates that the line is decreasing as it moves from left to right.
2. **Y-intercept**: The y-intercept \( b \) is -8. This indicates that the line crosses the y-axis at the point (0, -8).
Overall, this equation describes a linear relationship where the line descends with a slope of -2 and crosses the y-axis at -8.
1. **Slope**: The slope \( m \) is -2. This means that for every 1 unit increase in \( x \), \( y \) decreases by 2 units. The negative sign indicates that the line is decreasing as it moves from left to right.
2. **Y-intercept**: The y-intercept \( b \) is -8. This indicates that the line crosses the y-axis at the point (0, -8).
Overall, this equation describes a linear relationship where the line descends with a slope of -2 and crosses the y-axis at -8.