1. **State the problem:** We need to graph the line given by the equation $$y = \frac{1}{5}x - 5$$ on a Cartesian coordinate system. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where: - $$m$$ is the slope (rate of change), - $$b$$ is the y-intercept (where the line crosses the y-axis). 3. **Identify slope and intercept:** From the equation $$y = \frac{1}{5}x - 5$$: - Slope $$m = \frac{1}{5}$$ - Y-intercept $$b = -5$$ 4. **Plot the y-intercept:** Start by plotting the point at (0, -5) on the y-axis. 5. **Use the slope to find another point:** The slope $$\frac{1}{5}$$ means "rise over run" = 1 up, 5 right. - From (0, -5), move 5 units to the right (x = 5), and 1 unit up (y = -4). - Plot the point (5, -4). 6. **Draw the line:** Connect the points (0, -5) and (5, -4) with a straight line extending across the grid. 7. **Summary:** The line passes through (0, -5) and (5, -4) with a gentle positive slope of $$\frac{1}{5}$$. This completes the graphing of the line $$y = \frac{1}{5}x - 5$$.