Question

question
drag the point m below to the mid - point of the points (-4,3) and (2,-6), shown below.
provide your answer below.

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 the values of $x_1,y_1,x_2,y_2$

Here $x_1=-4,y_1 = 3,x_2=2,y_2=-6$.

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

$x=\frac{-4 + 2}{2}=\frac{-2}{2}=-1$.

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

$y=\frac{3+( - 6)}{2}=\frac{3 - 6}{2}=\frac{-3}{2}=-1.5$.

Answer:

The mid - point is $(-1,-1.5)$