Question

find the midpoint of points a(-2, -4) and b(4, -10) graphically. click and drag to draw a rectangle with the segment as a diagonal. start over remove rectangle answer attempt 1 out of 2 midpoint: ( , ) submit answer

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-2,y_1 = - 4,x_2 = 4,y_2=-10$.

Step2: Calculate the x - coordinate of the mid - point

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

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

$y=\frac{-4+( - 10)}{2}=\frac{-4-10}{2}=\frac{-14}{2}=-7$.

Answer:

$(1,-7)$