The slope of the line with equation 2x-2y=7 is

Options

A. `-1`
B. 1
C. `-2`
D. 2

Answer

To find the slope of the line given by the equation \(2x - 2y = 7\), 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**:
\[ 2x - 2y = 7 \]

2. **Rearrange the equation to isolate \(y\)**:
- First, subtract \(2x\) from both sides:
\[ -2y = -2x + 7 \]

3. **Divide the entire equation by \(-2\)** to solve for \(y\):
\[ y = \frac{-2x + 7}{-2} \]
This simplifies to:
\[ y = x - \frac{7}{2} \]

4. **Identify the slope**:
- In the equation \(y = mx + c\), we can see that \(m = 1\) (the coefficient of \(x\)) and \(c = -\frac{7}{2}\) (the y-intercept).
- Therefore, the slope of the line is:
\[ m = 1 \]

### Final Answer:
The slope of the line is \(1\).

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