Question

j(12.5, 6.8) and k(10.5, 11.7) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Find x - coordinate of mid - point

Use mid - point formula for x - coordinate $x=\frac{x_1 + x_2}{2}$, where $x_1 = 12.5$ and $x_2=10.5$.
$x=\frac{12.5 + 10.5}{2}=\frac{23}{2}=11.5$

Step2: Find y - coordinate of mid - point

Use mid - point formula for y - coordinate $y=\frac{y_1 + y_2}{2}$, where $y_1 = 6.8$ and $y_2 = 11.7$.
$y=\frac{6.8+11.7}{2}=\frac{18.5}{2}=9.25$

Answer:

$(11.5,9.25)$