Question

find the midpoint of the segment with the following endpoints.
(5,4) and (-3,-4)

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

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

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

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

$y=\frac{4+( - 4)}{2}=\frac{4 - 4}{2}=0$.

Answer:

$(1,0)$