To determine the equation of the line in the form \( y = mx + b \), we need the slope (\( m \)) and the y-intercept (\( b \)).
Based on the responses you provided, if the slope is negative 3, the equation would be represented as \( y = -3x + b \). If the slope is positive 3, it would be \( y = 3x + b \).
Without seeing the graph, I can't specify the correct answer. However, you can determine the correct equation by:
- Identifying the slope of the line (rise over run).
- Finding the y-intercept (where the line crosses the y-axis).
Compare your findings with the provided options:
- y=−3x−3 (slope = -3, y-intercept = -3)
- −3x−y=3 (this can be rearranged but is not in y=mx+b form)
- y=3x−3 (slope = 3, y-intercept = -3)
- y=3x+3 (slope = 3, y-intercept = 3)
If you have the values or characteristics of the graph, you can now select the appropriate equation!