Question

find the midpoint of the line segment with the given endpoints. 16) (9, 10), (-3, -6)

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, $x_1=9,y_1 = 10,x_2=-3,y_2=-6$.

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

$x=\frac{9+( - 3)}{2}=\frac{9 - 3}{2}=\frac{6}{2}=3$.

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

$y=\frac{10+( - 6)}{2}=\frac{10 - 6}{2}=\frac{4}{2}=2$.

Answer:

$(3,2)$