Question

v(-51, -5) and w(97, 7) are the endpoints of a line segment. what is the mid - point m of that line segment? write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Calculate x - coordinate of mid - point

Use mid - point formula $x=\frac{x_1 + x_2}{2}$, where $x_1=-51$ and $x_2 = 97$.
$x=\frac{-51 + 97}{2}=\frac{46}{2}=23$

Step2: Calculate y - coordinate of mid - point

Use mid - point formula $y=\frac{y_1 + y_2}{2}$, where $y_1=-5$ and $y_2 = 7$.
$y=\frac{-5 + 7}{2}=\frac{2}{2}=1$

Answer:

$(23,1)$