Question

b(4, 12) and c(7, 14) 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: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 4,y_1=12,x_2 = 7,y_2 = 14$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 7}{2}=\frac{11}{2}=5.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{12+14}{2}=\frac{26}{2}=13$.

Answer:

$(5.5,13)$