Evaluate the following , using the number line :
`-4-(-2)`

Answer

To evaluate the expression \(-4 - (-2)\) using a number line, follow these steps:

### Step 1: Understand the Expression
The expression \(-4 - (-2)\) involves subtracting a negative number. Remember that subtracting a negative number is the same as adding the positive equivalent of that number.

### Step 2: Rewrite the Expression
Rewrite the expression:
\[ -4 - (-2) = -4 + 2 \]

### Step 3: Draw the Number Line
Draw a horizontal line and mark the points. Label the points as follows:
- To the right of 0: 1, 2, 3, 4, ...
- To the left of 0: -1, -2, -3, -4, ...

### Step 4: Locate -4 on the Number Line
Find and mark the point \(-4\) on the number line. This is 4 units to the left of 0.

### Step 5: Move 2 Units to the Right
Since we need to add \(2\) to \(-4\), move \(2\) units to the right from \(-4\):
- Starting from \(-4\), moving \(1\) unit to the right takes you to \(-3\).
- Moving another \(1\) unit to the right takes you to \(-2\).

### Step 6: Identify the Result
After moving \(2\) units to the right from \(-4\), you land on \(-2\). Therefore, the result of the expression \(-4 - (-2)\) is:
\[ -2 \]

### Final Answer
The evaluated expression is:
\[ -4 - (-2) = -2 \]