Graph the line with the equation \( y=\frac{3}{5} x-3 \).

To graph the line given by the equation \( y = \frac{3}{5} x - 3 \), 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 \( m = \frac{3}{5} \) 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 \( \frac{3}{5} \) means that for every 5 units you move to the right (positive direction on the x-axis), you move up 3 units (positive direction on the y-axis). - Starting from the y-intercept \( (0, -3) \): - Move 5 units to the right to \( (5, -3) \). - Then move up 3 units to \( (5, 0) \). Plot this point. 4. **Draw the line**: - Now that you have two points, \( (0, -3) \) and \( (5, 0) \), you can draw a straight line through these points. Extend the line in both directions. 5. **Label the graph**: - Optionally, label the line with its equation \( y = \frac{3}{5} x - 3 \). Here’s a summary of the points: - Y-intercept: \( (0, -3) \) - Another point using the slope: \( (5, 0) \) The graph will show a straight line that rises from left to right, crossing the y-axis at -3 and the x-axis at 5.