Consider the following question and decide which of the statements is sufficient to answer the question.
Question:
Find the value of m, slope of a line.
Statements:
1) y=mx+2
2) Line passes through (2, 1)

Options

A. Only statement 2 is sufficient
B. Either statement 1 or 2 is sufficient
C. Only statement 1 is sufficient
D. Both statements 1 and 2 are sufficient

Answer

To find the value of \( m \), the slope of the line, we will analyze the two statements provided and see how they can be used together to solve for \( m \).

### Step-by-Step Solution:

1. **Understanding the First Statement:**
The first statement gives us the equation of the line:
\[ y = mx + 2 \]
Here, \( m \) is the slope we need to find.

2. **Understanding the Second Statement:**
The second statement tells us that the line passes through the point \( (2, 1) \). This means when \( x = 2 \), \( y = 1 \).

3. **Substituting Values into the Equation:**
We can substitute \( x = 2 \) and \( y = 1 \) into the equation from the first statement:
\[ 1 = m(2) + 2 \]

4. **Solving for \( m \):**
Rearranging the equation gives us:
\[ 1 = 2m + 2 \]
Subtracting 2 from both sides:
\[ 1 - 2 = 2m \]
This simplifies to:
\[ -1 = 2m \]
Dividing both sides by 2:
\[ m = -\frac{1}{2} \]

5. **Conclusion:**
We have found the value of \( m \) to be \( -\frac{1}{2} \).

### Final Answer:
Both statements are sufficient to find the value of \( m \).