The graph of the linear equation `4x+y=12` is a line which meets the y-axis at the point ______.

Options

A. (0, 4)
B. (4, 0)
C. (12, 0)
D. (0, 12)

Answer

To find the point where the graph of the linear equation \(4x + y = 12\) meets the y-axis, we need to determine the value of \(y\) when \(x = 0\).

### Step-by-Step Solution:

1. **Substitute \(x = 0\) into the equation**:
\[ 4(0) + y = 12 \]

2. **Simplify the equation**:
\[ 0 + y = 12 \]
This simplifies to:
\[ y = 12 \]

3. **Write the coordinates of the point**:
The point where the line meets the y-axis is \((0, 12)\).

### Final Answer:
The graph of the linear equation \(4x + y = 12\) meets the y-axis at the point \((0, 12)\).

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