Question

question 6 - 1 point
find the midpoint of the line segment with endpoints (-12,6) and (-8,-13).
give your answer as an ordered pair, using fractions if necessary.
provide your answer below:
((□,□))

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 $x_1=-12,y_1 = 6,x_2=-8,y_2=-13$.

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

$x=\frac{-12+( - 8)}{2}=\frac{-12 - 8}{2}=\frac{-20}{2}=-10$.

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

$y=\frac{6+( - 13)}{2}=\frac{6 - 13}{2}=-\frac{7}{2}$.

Answer:

$(-10,-\frac{7}{2})$