Find the distance between the two points on a number line such that, point `A` is `9 m` away from the origin towards left and point `B` is `2 m` away, also in the same direction.

Answer

To find the distance between the two points A and B on a number line, we can follow these steps:

### Step 1: Identify the positions of points A and B
- Point A is 9 meters away from the origin towards the left. On a number line, this means point A is at -9.
- Point B is 2 meters away from the origin towards the left as well, which means point B is at -2.

### Step 2: Write down the coordinates of points A and B
- Point A: A = -9
- Point B: B = -2

### Step 3: Calculate the distance between points A and B
The distance between two points on a number line can be calculated using the formula:
\[ \text{Distance} = |A - B| \]

Substituting the values of A and B:
\[ \text{Distance} = |-9 - (-2)| \]

### Step 4: Simplify the expression
This simplifies to:
\[ \text{Distance} = |-9 + 2| \]
\[ \text{Distance} = |-7| \]

### Step 5: Calculate the absolute value
Since distance is always a positive value:
\[ \text{Distance} = 7 \]

### Final Answer
The distance between points A and B is **7 meters**.

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