Graph the Line Line to Graph: \( y=-\frac{8}{7} x-3 \)

To graph the line given by the equation \( y = -\frac{8}{7} x - 3 \), we can follow these steps: 1. **Identify the slope and y-intercept**: - The equation is in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. - Here, the slope \( m = -\frac{8}{7} \) and the y-intercept \( b = -3 \). 2. **Plot the y-intercept**: - The y-intercept is the point where the line crosses the y-axis. This occurs at \( (0, -3) \). Plot this point on the graph. 3. **Use the slope to find another point**: - The slope \( -\frac{8}{7} \) means that for every 7 units you move to the right (positive x-direction), you move down 8 units (negative y-direction). - Starting from the y-intercept \( (0, -3) \): - Move 7 units to the right to \( (7, -3) \). - Then move down 8 units to \( (7, -11) \). - Plot the point \( (7, -11) \). 4. **Draw the line**: - Draw a straight line through the points \( (0, -3) \) and \( (7, -11) \). Extend the line in both directions. 5. **Label the graph**: - Optionally, label the line with its equation \( y = -\frac{8}{7} x - 3 \). This will give you a visual representation of the line. If you have graphing software or graph paper, you can plot these points and draw the line accordingly.