Question

find the midpoint of each line segment. 1) 2) midpoint formula

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: For the first line segment

The endpoints of the first line segment are $(6,0)$ and $(9,4)$. Using the mid - point formula, $x=\frac{6 + 9}{2}=\frac{15}{2}=7.5$ and $y=\frac{0+4}{2}=2$. So the mid - point is $(7.5,2)$.

Step3: For the second line segment

The endpoints of the second line segment are $(3,9)$ and $(6,4)$. Using the mid - point formula, $x=\frac{3 + 6}{2}=\frac{9}{2}=4.5$ and $y=\frac{9 + 4}{2}=\frac{13}{2}=6.5$. So the mid - point is $(4.5,6.5)$.

Answer:

1. $(7.5,2)$
2. $(4.5,6.5)$