Question

unit 8: algebraic connections to geometry - copy
determine the midpoint of segment lm given the coordinates below.
l(2,9) m(-6,1)
(11,-5)
(-2,5)
(4,4)
(-14,-7)

Explanation:

Step1: Use the midpoint formula

The midpoint formula is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$, where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of the two endpoints.
Here, $x_1 = 2,y_1 = 9,x_2=-6,y_2 = 1$.

Step2: Calculate the x - coordinate of the midpoint

$\frac{2+(-6)}{2}=\frac{2 - 6}{2}=\frac{-4}{2}=-2$

Step3: Calculate the y - coordinate of the midpoint

$\frac{9 + 1}{2}=\frac{10}{2}=5$

Answer:

$(-2,5)$