The co-ordinate where the line x-y = 8 will intersect y-axis is ……..

Answer

To find the coordinate where the line \( x - y = 8 \) intersects the y-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the intersection with the y-axis**:
- The y-axis is where the x-coordinate is always 0. Therefore, to find the intersection point, we will set \( x = 0 \) in the equation of the line.

2. **Substitute \( x = 0 \) into the equation**:
- The given equation is \( x - y = 8 \).
- Substitute \( x = 0 \):
\[ 0 - y = 8 \]

3. **Simplify the equation**:
- This simplifies to:
\[ -y = 8 \]

4. **Solve for \( y \)**:
- To find \( y \), multiply both sides by -1:
\[ y = -8 \]

5. **Write the coordinate**:
- The coordinate where the line intersects the y-axis is \( (0, -8) \).

### Final Answer:
The coordinate where the line \( x - y = 8 \) intersects the y-axis is \( (0, -8) \).

---