Use the image to answer the question.

Question

A number line ranging from negative 1 to 15 shows a closed circle at 5 labeled upper M and a closed circle on 9 labeled upper B.

Given that A
is the midpoint of line segment MB¯¯¯¯¯¯¯¯¯
, find the value of A
.

(1 point)
Point A
lies at
on the number line.

Answer 1

To find the midpoint \( A \) of the line segment \( \overline{MB} \), we first need to know the coordinates of points \( M \) and \( B \).

From the description:

• Point \( M \) is at \( 5 \)
• Point \( B \) is at \( 9 \)

The formula for the midpoint \( A \) between two points \( M \) and \( B \) is given by:

\[ A = \frac{M + B}{2} \]

Substituting the coordinates of \( M \) and \( B \):

\[ A = \frac{5 + 9}{2} = \frac{14}{2} = 7 \]

Thus, point \( A \) lies at \( 7 \) on the number line.