To graph the point $O$ on line segment $MN$ where the ratio $MO:NO = 1:5$, we can follow these steps:

1. Determine coordinates of $M$ and $N$: Let the coordinates of point $M$ be $M(x_1, y_1)$ and point $N$ be $N(x_2, y_2)$.

2. Find the coordinates of point $O$: The point $O$ divides the line segment in the ratio 1:5. Using the section formula, the coordinates of point $O(x, y)$ can be calculated as: $x = \frac{m x_2 + n x_1}{m + n}$ $y = \frac{m y_2 + n y_1}{m + n}$ where $m:n = 1:5$, $x_1, y_1$ are the coordinates of $M$, and $x_2, y_2$ are the coordinates of $N$.

3. Substitute the values into the formula: Plug in the given ratio and the coordinates of points $M$ and $N$ to get the exact position of point $O$.

If you provide the coordinates of $M$ and $N$, I can compute the exact coordinates of point $O$ and help you graph it.

Would you like me to explain the formula in more detail or continue with another step?

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Here are five relative questions you might want to explore:

1. What is the section formula used in other ratios?
2. How can we use the midpoint formula to verify results?
3. How does the ratio $m:n$ affect the placement of point $O$?
4. What is the geometric significance of dividing a line segment in a given ratio?
5. Can you calculate the distance between $M$ and $O$?

Tip: The section formula is useful for dividing line segments in any ratio, and can be used to solve a variety of geometric problems.