Question

#16: find the mid - point of line segment qr.
find the mid - point of $overline{uv}$.
#17: find the mid - point of lines segment uv. type your answer as an ordered pair in the form $(x,y)$.
find the mid - point of $overline{qr}$.

Explanation:

Step1: Identify endpoints

From the number - line, the coordinate of point U is - 12 and the coordinate of point V is 16.

Step2: Apply mid - point formula

The mid - point formula for a one - dimensional line segment with endpoints \(a\) and \(b\) is \(M=\frac{a + b}{2}\). Here \(a=-12\) and \(b = 16\), so \(M=\frac{-12 + 16}{2}\).

Step3: Calculate the mid - point

First, calculate the sum in the numerator: \(-12+16 = 4\). Then, divide by 2: \(\frac{4}{2}=2\).

Answer:

2