Find the slope and y - intercept of the following lines.
`2y=5x-12`

Answer

To find the slope and y-intercept of the line given by the equation \(2y = 5x - 12\), 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**:
\[ 2y = 5x - 12 \]

2. **Divide every term by 2 to isolate \(y\)**:
\[ \frac{2y}{2} = \frac{5x}{2} - \frac{12}{2} \]
This simplifies to:
\[ y = \frac{5}{2}x - 6 \]

3. **Identify the slope and y-intercept**:
- From the equation \(y = \frac{5}{2}x - 6\):
- The coefficient of \(x\) (which is \(\frac{5}{2}\)) is the slope \(m\).
- The constant term (which is \(-6\)) is the y-intercept \(c\).

4. **Write the final results**:
- Slope \(m = \frac{5}{2} = 2.5\)
- Y-intercept \(c = -6\)

### Final Answer:
- The slope of the given line is \(2.5\).
- The y-intercept of the given line is \(-6\).