Evaluate the following , using the number line :
`-6+(-2)`.

Answer

To evaluate the expression \(-6 + (-2)\) using a number line, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Expression**:
The expression \(-6 + (-2)\) means we are starting at \(-6\) and then moving left on the number line by 2 units because we are adding a negative number.

**Hint**: Remember that adding a negative number means moving to the left on the number line.

2. **Locate -6 on the Number Line**:
Draw a number line and mark the point for \(-6\). The number line should have negative numbers to the left of 0 and positive numbers to the right.

**Hint**: Always start by identifying the first number in your expression on the number line.

3. **Move Left by 2 Units**:
From the point \(-6\), move 2 units to the left.
- Moving left from \(-6\) to \(-7\) is 1 unit.
- Moving left again from \(-7\) to \(-8\) is the second unit.

**Hint**: Each step to the left represents adding a negative number.

4. **Identify the Result**:
After moving 2 units to the left from \(-6\), you land on \(-8\). Therefore, \(-6 + (-2) = -8\).

**Hint**: The final position on the number line gives you the answer to the expression.

### Final Answer:
The result of \(-6 + (-2)\) is \(-8\).