Question

1. find the midpoint of the points (2, -3) and (-4, 5). (2,3) (-3,4) (-1,1) (-2,2)

Explanation:

Step1: Recall mid - point formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the mid - point $(x_m,y_m)$ is given by $x_m=\frac{x_1 + x_2}{2}$ and $y_m=\frac{y_1 + y_2}{2}$. Here $x_1 = 2,y_1=-3,x_2=-4,y_2 = 5$.

Step2: Calculate x - coordinate of mid - point

$x_m=\frac{2+( - 4)}{2}=\frac{2 - 4}{2}=\frac{-2}{2}=-1$.

Step3: Calculate y - coordinate of mid - point

$y_m=\frac{-3 + 5}{2}=\frac{2}{2}=1$.

Answer:

C. (-1,1)