Find the slope and thy y-intercept of the lines.
` 4x-3y=2`

Answer

To find the slope and the y-intercept of the line given by the equation \(4x - 3y = 2\), we will convert it into 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:**
\[ 4x - 3y = 2 \]

2. **Rearrange the equation to isolate the term with \(y\):**
\[ -3y = 2 - 4x \]

3. **Multiply the entire equation by \(-1\) to make the coefficient of \(y\) positive:**
\[ 3y = -2 + 4x \]

4. **Rearrange the equation to get \(y\) by itself:**
\[ 3y = 4x - 2 \]

5. **Divide every term by 3 to solve for \(y\):**
\[ y = \frac{4}{3}x - \frac{2}{3} \]

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

### Final Answer:
- Slope \(m = \frac{4}{3}\)
- Y-intercept \(c = -\frac{2}{3}\)