Question

question 11

1. what is the midpoint between (-4, 5) and (-2, -3)?

(-\frac{9}{2}, \frac{1}{2})
(-3, 1)
(-1, 4)
(\frac{1}{2}, -\frac{5}{2})

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 $x_1=-4,y_1 = 5,x_2=-2,y_2=-3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4+( - 2)}{2}=\frac{-4 - 2}{2}=\frac{-6}{2}=-3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{5+( - 3)}{2}=\frac{5 - 3}{2}=\frac{2}{2}=1$.

Answer:

B. $(-3,1)$