1. The problem asks to plot a map with a scale where 5 units on the map correspond to a length of 1 unit in reality. 2. This means the scale factor is $\frac{1}{5}$, so every 5 units on the graph represent 1 unit of actual length. 3. To represent this on a square grid centered in the image, we can label the axes accordingly, marking every 5 units as 1 unit in real length. 4. For example, if the grid spans from -10 to 10 on both axes, this corresponds to $\frac{10}{5} = 2$ units in real length on each side. 5. This scale helps in interpreting distances on the graph relative to real-world measurements. Final answer: The map scale is $5$ units on the graph equals $1$ unit in real length, so the scale factor is $\frac{1}{5}$.