Write down the slopes of the following lines:
`7x-5y+8=0`

Answer

To find the slope of the line given by the equation \(7x - 5y + 8 = 0\), we will convert the equation into the slope-intercept form, which is \(y = mx + c\), where \(m\) represents the slope.

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ 7x - 5y + 8 = 0 \]

2. **Rearrange the equation to isolate \(y\):**
\[ -5y = -7x - 8 \]

3. **Multiply through by -1 to make \(y\) positive:**
\[ 5y = 7x + 8 \]

4. **Divide every term by 5 to solve for \(y\):**
\[ y = \frac{7}{5}x + \frac{8}{5} \]

5. **Identify the slope \(m\):**
From the equation \(y = \frac{7}{5}x + \frac{8}{5}\), we see that the slope \(m\) is:
\[ m = \frac{7}{5} \]

### Conclusion:
The slope of the line \(7x - 5y + 8 = 0\) is \(\frac{7}{5}\).

---