Question

question 3 (2 points) find the coordinates of the midpoint of a the segment given endpoints a(5, 8) and b(-1, -4). midpoint: ( _, _ ) blank 1 = x - value, blank 2 = y - value

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 5,y_1 = 8,x_2=-1,y_2=-4$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{5+( - 1)}{2}=\frac{5 - 1}{2}=\frac{4}{2}=2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{8+( - 4)}{2}=\frac{8 - 4}{2}=\frac{4}{2}=2$.

Answer:

$(2,2)$