The equation of a line is `3x + 4y - 7 = 0`. Find:
the slope of the line. 

Answer

To find the slope of the line given by the equation \(3x + 4y - 7 = 0\), 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**:
\[ 3x + 4y - 7 = 0 \]

2. **Rearrange the equation to isolate \(y\)**:
\[ 4y = -3x + 7 \]
Here, we moved \(3x\) and \(-7\) to the right side of the equation.

3. **Divide every term by 4 to solve for \(y\)**:
\[ y = -\frac{3}{4}x + \frac{7}{4} \]
This step ensures that the coefficient of \(y\) is 1.

4. **Identify the slope**:
In the equation \(y = mx + c\), the coefficient \(m\) is the slope. From our rearranged equation:
\[ m = -\frac{3}{4} \]

Thus, the slope of the line is \(-\frac{3}{4}\).

### Final Answer:
The slope of the line is \(-\frac{3}{4}\).