1. The problem is to graph the line with slope $\frac{1}{5}$ and y-intercept $-3$ and identify which graph matches this description. 2. The equation of a line in slope-intercept form is given by: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m = \frac{1}{5}$ and the y-intercept $b = -3$. So the equation is: $$y = \frac{1}{5}x - 3$$ 4. This means the line crosses the y-axis at $-3$ and rises slowly as $x$ increases because the slope is positive but small. 5. Among the given graphs, Graph 1 matches this description because: - It passes through the y-axis at approximately $-3$. - It slopes slightly upwards from left to right, consistent with slope $\frac{1}{5}$. - The horizontal and vertical ranges fit the description. Final answer: The graph that most closely matches is Graph 1.