Question

find the midpoint of the line segment with the given endpoints (12, -8) and (-10, -1).

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 $x_1 = 12,y_1=-8,x_2=-10,y_2 = - 1$.

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

$\frac{x_1 + x_2}{2}=\frac{12+( - 10)}{2}=\frac{12 - 10}{2}=\frac{2}{2}=1$.

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

$\frac{y_1 + y_2}{2}=\frac{-8+( - 1)}{2}=\frac{-8 - 1}{2}=-\frac{9}{2}=-4.5$.

Answer:

$(1,-4.5)$