Draw the line `3x+4y=12` on a graph paper. From the graph paper, read the y-intercept of the line.

Answer

To draw the line represented by the equation \(3x + 4y = 12\) on a graph paper and find its y-intercept, follow these steps:

### Step-by-Step Solution:

1. **Rewrite the Equation in Slope-Intercept Form**:
We start with the equation \(3x + 4y = 12\). To find the y-intercept, we can rewrite this equation in the slope-intercept form \(y = mx + b\), where \(b\) is the y-intercept.

\[ 4y = 12 - 3x \]
\[ y = -\frac{3}{4}x + 3 \]

Here, the y-intercept \(b\) is \(3\).

2. **Find the Intercepts**:
- **Y-intercept**: Set \(x = 0\).
\[ 3(0) + 4y = 12 \implies 4y = 12 \implies y = 3 \]
So, the y-intercept is at the point \((0, 3)\).

- **X-intercept**: Set \(y = 0\).
\[ 3x + 4(0) = 12 \implies 3x = 12 \implies x = 4 \]
So, the x-intercept is at the point \((4, 0)\).

3. **Plot the Points on Graph Paper**:
- Plot the y-intercept \((0, 3)\) on the graph paper. This is where the line crosses the y-axis.
- Plot the x-intercept \((4, 0)\) on the graph paper. This is where the line crosses the x-axis.

4. **Draw the Line**:
- Draw a straight line through the points \((0, 3)\) and \((4, 0)\). Extend the line in both directions.

5. **Read the Y-Intercept**:
- From the graph, the y-intercept is the point where the line crosses the y-axis, which we have already calculated to be \(3\).

### Final Answer:
The y-intercept of the line \(3x + 4y = 12\) is \(3\).