Question

find the midpoint of the line segment with endpoints p1(1/3,5/12) and p2(-1/3,7/12). the midpoint of the line segment is . (simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=\frac{1}{3}$, $y_1=\frac{5}{12}$, $x_2=-\frac{1}{3}$, $y_2=\frac{7}{12}$.

Step2: Calculate the x - coordinate of the mid - point

$\frac{x_1 + x_2}{2}=\frac{\frac{1}{3}+(-\frac{1}{3})}{2}=\frac{\frac{1 - 1}{3}}{2}=\frac{0}{2}=0$.

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

$\frac{y_1 + y_2}{2}=\frac{\frac{5}{12}+\frac{7}{12}}{2}=\frac{\frac{5 + 7}{12}}{2}=\frac{\frac{12}{12}}{2}=\frac{1}{2}$.

Answer:

$(0,\frac{1}{2})$