1. **State the problem:** We are given that 5 miles equals 8 kilometres and a line graph represents this conversion. Points on the line are (0, m) and (5, n). We need to find the values of m and n. 2. **Understand the points:** The point (0, m) represents the kilometres when miles is 0. Since 0 miles corresponds to 0 kilometres, we have $m = 0$. 3. The point (5, n) represents the kilometres when miles is 5. Given the conversion, 5 miles equals 8 kilometres, so $n = 8$. 4. **Summary:** - $m = 0$ - $n = 8$ 5. **Plotting the line:** The line passes through points (0, 0) and (5, 8). This line shows the linear relationship between miles and kilometres. 6. **Equation of the line:** Using the two points, the slope $\displaystyle m = \frac{8 - 0}{5 - 0} = \frac{8}{5}$. 7. The line equation in slope-intercept form is: $$y = \frac{8}{5}x$$ where $x$ is miles and $y$ is kilometres. This line can be plotted on the given axes using these points.