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

Answer

To find the slope and the y-intercept of the equation \( x = 3y + 2 \), we will first rearrange the equation into the standard form \( y = mx + c \), where \( m \) is the slope and \( c \) is the y-intercept.

### Step-by-Step Solution:

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

2. **Rearrange the equation to isolate \( y \):**
- Subtract 2 from both sides:
\[ x - 2 = 3y \]
- Now, divide both sides by 3 to solve for \( y \):
\[ y = \frac{x - 2}{3} \]
- This can be rewritten as:
\[ y = \frac{1}{3}x - \frac{2}{3} \]

3. **Identify the slope and y-intercept:**
- From the equation \( y = \frac{1}{3}x - \frac{2}{3} \):
- The slope \( m \) is \( \frac{1}{3} \).
- The y-intercept \( c \) is \( -\frac{2}{3} \).

### Final Answers:
- **Slope (m):** \( \frac{1}{3} \)
- **Y-intercept (c):** \( -\frac{2}{3} \)