Graph the line. \[ y=-\frac{3}{5} x+3 \]

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**: Start by plotting the y-intercept on the graph. The y-intercept is the point where the line crosses the y-axis. For this equation, the y-intercept is at the point \((0, 3)\). 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 x-direction), you move down 3 units (negative y-direction). Starting from the y-intercept \((0, 3)\): - Move 5 units to the right to \(x = 5\). - Move down 3 units to \(y = 0\). - This gives you the point \((5, 0)\). 4. **Plot the second point**: Plot the point \((5, 0)\) on the graph. 5. **Draw the line**: Draw a straight line through the points \((0, 3)\) and \((5, 0)\). Extend the line in both directions and add arrows to indicate that it continues infinitely. 6. **Label the graph**: Optionally, label the line with its equation for clarity. The graph should show a straight line that slopes downward from left to right, crossing the y-axis at 3 and the x-axis at 5.