The slope of line `8x+12y+5=0` is

Options

A. `-(3)/(2)`
B. `-(2)/(3)`
C. `(2)/(3)`
D. `2`

Explanation

To find the slope of the line given by the equation \(8x + 12y + 5 = 0\), we will convert it into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.

### Step-by-step Solution:

1. **Start with the given equation:**
\[ 8x + 12y + 5 = 0 \]

2. **Rearrange the equation to isolate \(y\):**
- Move \(8x\) and \(5\) to the right side:
\[ 12y = -8x - 5 \]

3. **Divide every term by \(12\) to solve for \(y\):**
\[ y = -\frac{8}{12}x - \frac{5}{12} \]

4. **Simplify the fraction \(-\frac{8}{12}\):**
- This can be simplified to \(-\frac{2}{3}\):
\[ y = -\frac{2}{3}x - \frac{5}{12} \]

5. **Identify the slope \(m\):**
- From the equation \(y = mx + b\), we see that the coefficient of \(x\) (which is the slope \(m\)) is:
\[ m = -\frac{2}{3} \]

### Final Answer:
The slope of the line \(8x + 12y + 5 = 0\) is \(-\frac{2}{3}\).