Question

place the coordinates that correctly complete the sentence. the midpoint between (8,3) and (12, -7) is. (-4,10) (-2,5) (10, -2) (20, -4)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 8,y_1=3,x_2 = 12,y_2=-7$.

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

$x=\frac{8 + 12}{2}=\frac{20}{2}=10$.

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

$y=\frac{3+( - 7)}{2}=\frac{3 - 7}{2}=\frac{-4}{2}=-2$.

Answer:

$(10,-2)$