The equation you provided is $y = -\frac{1}{5}x + 4$.

Let's break this down:

1. The slope of the line is $-\frac{1}{5}$. This means that for every 5 units you move to the right along the x-axis, you move 1 unit down along the y-axis.
2. The y-intercept is 4. This means the line crosses the y-axis at $y = 4$.

Steps to graph:

1. Start by plotting the y-intercept at the point $(0, 4)$.
2. From this point, use the slope $-\frac{1}{5}$. Move 5 units to the right (positive direction on the x-axis), then 1 unit down (negative direction on the y-axis). This gives you a second point at $(5, 3)$.
3. You can also move 5 units to the left (negative x-direction) and 1 unit up (positive y-direction) to get another point at $(-5, 5)$.

Connect these points with a straight line, and you will have the graph of $y = -\frac{1}{5}x + 4$.

Would you like me to create a visual representation of this graph for you?