Question

find the midpoint of the segment with the given endpoints. (5,7) and (-5,-5) the midpoint is . (type an ordered pair.)

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 $x_1 = 5,y_1=7,x_2=-5,y_2 = - 5$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{5+( - 5)}{2}=\frac{5 - 5}{2}=0$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{7+( - 5)}{2}=\frac{7 - 5}{2}=1$.

Answer:

$(0,1)$