Question

find the midpoint, m, of ab. a = (-5, 5) b = (5, -5) m = (?, ) m = ( (x₁ + x₂)/2, (y₁ + y₂)/2 )

Explanation:

Step1: Identify coordinates

$x_1=-5,y_1 = 5,x_2=5,y_2=-5$

Step2: Calculate x - coordinate of mid - point

$$\frac{x_1 + x_2}{2}=\frac{-5 + 5}{2}=\frac{0}{2}=0$$

Step3: Calculate y - coordinate of mid - point

$$\frac{y_1 + y_2}{2}=\frac{5+( - 5)}{2}=\frac{0}{2}=0$$

Answer:

$(0,0)$