Question

midterm cumulative test
which ordered pair is the midpoint of the line segment with endpoints (2,-5) and (-6,4)?
(-4,-1)
(-4,-0.5)
(-2,-0.5)
(-2,-1)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify $x_1,x_2,y_1,y_2$

Here $x_1 = 2,y_1=-5,x_2=-6,y_2 = 4$.

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

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

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{-5 + 4}{2}=\frac{-1}{2}=-0.5$.

Answer:

$(-2,-0.5)$