The co- ordibates of two ponts are (6, 0) and (0, 8) . The co-ordinates of the mid points are

Options

A. 3, 4
B. 3, -4
C. 0,0
D. `-4,3`

Answer

To find the coordinates of the midpoint between the two points (6, 0) and (0, 8), we can follow these steps:

### Step 1: Identify the coordinates of the points.
The coordinates of the two points are:
- Point A: (6, 0)
- Point B: (0, 8)

### Step 2: Use the midpoint formula.
The formula for finding the midpoint (M) of two points (x1, y1) and (x2, y2) is given by:
\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]

### Step 3: Substitute the coordinates into the formula.
Here, we have:
- \(x_1 = 6\), \(y_1 = 0\)
- \(x_2 = 0\), \(y_2 = 8\)

Substituting these values into the midpoint formula:
\[ M = \left( \frac{6 + 0}{2}, \frac{0 + 8}{2} \right) \]

### Step 4: Calculate the x-coordinate of the midpoint.
Calculating the x-coordinate:
\[ \frac{6 + 0}{2} = \frac{6}{2} = 3 \]

### Step 5: Calculate the y-coordinate of the midpoint.
Calculating the y-coordinate:
\[ \frac{0 + 8}{2} = \frac{8}{2} = 4 \]

### Step 6: Write the coordinates of the midpoint.
Thus, the coordinates of the midpoint M are:
\[ M = (3, 4) \]

### Final Answer:
The coordinates of the midpoint are (3, 4).

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