For equations given below find the slope and the y- intercept.
`3x + 2y + 4=0 `

Answer

To find the slope and the y-intercept of the equation \(3x + 2y + 4 = 0\), we will first rewrite the equation in the slope-intercept form, which is \(y = mx + c\), where \(m\) is the slope and \(c\) is the y-intercept.

### Step-by-Step Solution:

1. **Start with the given equation**:
\[ 3x + 2y + 4 = 0 \]

2. **Rearrange the equation to isolate \(y\)**:
- Subtract \(3x\) and \(4\) from both sides:
\[ 2y = -3x - 4 \]

3. **Divide every term by \(2\) to solve for \(y\)**:
\[ y = -\frac{3}{2}x - 2 \]

4. **Identify the slope and y-intercept**:
- From the equation \(y = mx + c\):
- The slope \(m\) is \(-\frac{3}{2}\).
- The y-intercept \(c\) is \(-2\).

### Final Answers:
- **Slope (m)**: \(-\frac{3}{2}\)
- **Y-intercept (c)**: \(-2\)

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