Using the number line, subtract : (a) 2 from `-3`
(b) `-2` from `-3`.

Answer

### Step-by-Step Solution

#### Part (a): Subtract 2 from -3

1. **Draw the Number Line**: Start by drawing a horizontal line. Mark the center as 0. To the right of 0, mark positive integers: +1, +2, +3, etc. To the left of 0, mark negative integers: -1, -2, -3, -4, -5, etc.

2. **Locate -3 on the Number Line**: Find the point -3 on the number line. This is where we will start our subtraction.

3. **Subtract 2**: Since we need to subtract 2 from -3, we move 2 steps to the left on the number line:
- Move from -3 to -4 (1 step left)
- Move from -4 to -5 (2 steps left)

4. **Find the Result**: After moving 2 steps left from -3, we land on -5. Therefore, the result of subtracting 2 from -3 is:
\[ -3 - 2 = -5 \]

#### Part (b): Subtract -2 from -3

1. **Draw the Number Line**: Again, draw a horizontal line and mark the center as 0. To the right, mark positive integers: +1, +2, +3, etc. To the left, mark negative integers: -1, -2, -3, -4, -5, etc.

2. **Locate -3 on the Number Line**: Find the point -3 on the number line. This is where we will start our subtraction.

3. **Subtract -2**: We need to subtract -2 from -3. Remember that subtracting a negative number is the same as adding its positive counterpart. So, we rewrite the expression:
\[ -3 - (-2) = -3 + 2 \]

4. **Add 2**: Now, we move 2 steps to the right on the number line:
- Move from -3 to -2 (1 step right)
- Move from -2 to -1 (2 steps right)

5. **Find the Result**: After moving 2 steps right from -3, we land on -1. Therefore, the result of subtracting -2 from -3 is:
\[ -3 - (-2) = -1 \]

### Final Answers:
- (a) -5
- (b) -1