How to find LM on a number line with number such as -8 and -2

To find the midpoint \(LM\) between two points on a number line, you can use the midpoint formula. If the two points are \(-8\) and \(-2\), the midpoint \(LM\) can be found as follows:

### Step-by-Step Solution:

1. **Identify the two points**:  
   The points given are \(-8\) and \(-2\).

2. **Use the midpoint formula**:  
   The formula to find the midpoint \(M\) between two points \(a\) and \(b\) on a number line is:
   \[
   M = \frac{a + b}{2}
   \]

3. **Plug in the values**:  
   Substitute \(a = -8\) and \(b = -2\) into the formula:
   \[
   M = \frac{-8 + (-2)}{2}
   \]

4. **Simplify the expression**:
   \[
   M = \frac{-8 - 2}{2} = \frac{-10}{2} = -5
   \]

### Result:

The midpoint \(LM\) on the number line between \(-8\) and \(-2\) is \(-5\).

Would you like more details or have any questions?

Here are 5 related questions to explore this topic further:

1. How do you find the midpoint between two positive numbers on a number line?
2. What is the distance between two points on a number line?
3. How does finding the midpoint change if the two points are the same?
4. Can the midpoint formula be used for coordinates in two-dimensional space? If so, how?
5. How do you find the average of multiple numbers on a number line?

**Tip:** The midpoint formula is useful in various branches of mathematics, including geometry and algebra, as it helps to find the center point between two numbers or points.

Learn how to find the midpoint (LM) between -8 and -2 on a number line using the midpoint formula. Step-by-step solution provided with calculations and explanations. Suitable for Grades 6-8.

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