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The problem is asking to find the length of segment \( RS \), given that:

- \( ST = 13 \)
- \( RT = 64 \)

To solve this:

1. The points \( R \), \( S \), and \( T \) are collinear, which means that the total distance \( RT \) is the sum of the distances of \( RS \) and \( ST \):
   \[
   RT = RS + ST
   \]
   
2. Substitute the given values:
   \[
   64 = RS + 13
   \]

3. Solve for \( RS \):
   \[
   RS = 64 - 13 = 51
   \]

So, \( RS = 51 \).

Would you like further details on this? Here are some related questions you can explore:

1. What happens if the value of \( ST \) changes?
2. How can this concept be applied in geometry problems involving the coordinate plane?
3. Can you explain why the points must be collinear for this equation to work?
4. How do you find distances in a 3D coordinate system?
5. What would happen if \( ST \) was greater than \( RT \)?

**Tip:** When solving for unknowns in segment lengths, always check whether the segments are part of the same line (i.e., collinear).

If ST = 13 and RT = 64, find RS. Use the number line below.

Solve for RS when ST = 13 and RT = 64 using a number line. This problem demonstrates collinearity of points and applies algebraic subtraction to find the length of a segment. Ideal for Grade 7 students learning about linear measurements.

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