Question

question 3
which of the following is the midpoint between (-5, 11) and (-12, 23)?
(-3.5, 17)
(-8.5, 6)
(-3.5, 6)
(-8.5, 17)

Explanation:

Step1: Recall mid - point formula

The mid - point formula between 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 $x_1=-5,y_1 = 11,x_2=-12,y_2 = 23$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5+( - 12)}{2}=\frac{-5 - 12}{2}=\frac{-17}{2}=-8.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11 + 23}{2}=\frac{34}{2}=17$.

Answer:

(-8.5, 17)