Find the midpoint of the line joining the points `(3, 4) and (5, 2)`.

Answer

To find the midpoint of the line joining the points (3, 4) and (5, 2), we can follow these steps:

### Step 1: Identify the coordinates of the points
Let the first point A be (x1, y1) = (3, 4) and the second point B be (x2, y2) = (5, 2).

### Step 2: Use the midpoint formula
The formula to find the midpoint M of a line segment joining two points A(x1, y1) and B(x2, y2) is given by:
\[ M = \left( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} \right) \]

### Step 3: Substitute the coordinates into the formula
Now, substitute the values of x1, y1, x2, and y2 into the midpoint formula:
\[ M = \left( \frac{3 + 5}{2}, \frac{4 + 2}{2} \right) \]

### Step 4: Calculate the x-coordinate of the midpoint
Calculate the x-coordinate:
\[ \frac{3 + 5}{2} = \frac{8}{2} = 4 \]

### Step 5: Calculate the y-coordinate of the midpoint
Calculate the y-coordinate:
\[ \frac{4 + 2}{2} = \frac{6}{2} = 3 \]

### Step 6: Write the final answer
Thus, the midpoint M of the line segment joining the points (3, 4) and (5, 2) is:
\[ M = (4, 3) \]

### Final Answer
The midpoint is (4, 3).

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