Question

if the coordinate of a is (0, -2) and the coordinate of b is (10, -6), the then midpoint of (overline{ab}) is ( , ) here is the midpoint formula: (left( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}
ight))

Explanation:

Step1: Identify coordinates

Let \( A(x_1, y_1) = (0, -2) \) and \( B(x_2, y_2) = (10, -6) \).

Step2: Calculate x - coordinate of midpoint

Using the midpoint formula for x - coordinate: \( \frac{x_1 + x_2}{2} \)
Substitute \( x_1 = 0 \) and \( x_2 = 10 \): \( \frac{0 + 10}{2}=\frac{10}{2} = 5 \)

Step3: Calculate y - coordinate of midpoint

Using the midpoint formula for y - coordinate: \( \frac{y_1 + y_2}{2} \)
Substitute \( y_1=-2 \) and \( y_2 = - 6 \): \( \frac{-2+( - 6)}{2}=\frac{-8}{2}=-4 \)

Answer:

\( (5, -4) \)