Slope of line `17x-14y-73=0` is equal to:

Options

A. `-17/14`
B. `14/17`
C. `17/14`
D. `-14/17`

Answer

To find the slope of the line given by the equation \(17x - 14y - 73 = 0\), we will convert this equation into the slope-intercept form, which is \(y = mx + c\), where \(m\) is the slope.

### Step-by-Step Solution:

1. **Start with the given equation:**
\[ 17x - 14y - 73 = 0 \]

2. **Rearrange the equation to isolate \(y\):**
- Move \(17x\) and \(-73\) to the right side:
\[ -14y = -17x + 73 \]

3. **Divide the entire equation by \(-14\) to solve for \(y\):**
\[ y = \frac{17}{14}x - \frac{73}{14} \]

4. **Identify the slope \(m\):**
- From the equation \(y = \frac{17}{14}x - \frac{73}{14}\), we can see that the slope \(m\) is:
\[ m = \frac{17}{14} \]

### Conclusion:
The slope of the line \(17x - 14y - 73 = 0\) is \(\frac{17}{14}\).