Question

1. what is the midpoint of the segment below. midpoint = ( )

Explanation:

Step1: Identify endpoints

Let the endpoints be $(x_1,y_1)$ and $(x_2,y_2)$. From the graph, assume the endpoints are $(1,8)$ and $(7,1)$.

Step2: Use mid - point formula

The mid - point formula is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Substitute $x_1 = 1,x_2=7,y_1 = 8,y_2 = 1$ into the formula. For the x - coordinate of the mid - point: $\frac{1+7}{2}=\frac{8}{2}=4$. For the y - coordinate of the mid - point: $\frac{8 + 1}{2}=\frac{9}{2}=4.5$.

Answer:

$(4,4.5)$