We are given that point $S$ is located at $-4$ on the number line. Points $T$ and $U$ are each 10 units away from point $S$.

To find the locations of $T$ and $U$:

• Point $T$ is located 10 units to the left of $S$:
  $T = -4 - 10 = -14$.

• Point $U$ is located 10 units to the right of $S$:
  $U = -4 + 10 = 6$.

Answer:

• $T$ is located at $-14$.
• $U$ is located at $6$.

Let me know if you'd like further details or explanations!

Here are some related questions:

1. What happens if the distance between points $T$ and $U$ is increased?
2. How would you plot points $T$ and $U$ if point $S$ was at 0?
3. What is the total distance between points $T$ and $U$?
4. How would you represent the points $T$, $S$, and $U$ on a coordinate plane?
5. What if point $T$ was twice as far from $S$ as point $U$?

Tip: When dealing with number lines, always think of leftward motion as subtraction and rightward as addition!