Question

t(43, 72) and u(81, 79) 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: Calculate x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{x_1 + x_2}{2}$. Here, $x_1 = 43$ and $x_2=81$. So, $\frac{43 + 81}{2}=\frac{124}{2}=62$.

Step2: Calculate y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_1 + y_2}{2}$. Here, $y_1 = 72$ and $y_2 = 79$. So, $\frac{72+79}{2}=\frac{151}{2}=75.5$.

Answer:

$(62,75.5)$