Question

s(6.9, 13.2) and t(0.7, 5.4) 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

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, $x_1=6.9$ and $x_2 = 0.7$. So, $\frac{6.9+0.7}{2}=\frac{7.6}{2}=3.8$.

Step2: Find 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, $y_1 = 13.2$ and $y_2=5.4$. So, $\frac{13.2 + 5.4}{2}=\frac{18.6}{2}=9.3$.

Answer:

$(3.8,9.3)$