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 \( MB \), we can use the formula for the midpoint between two points \( M \) and \( B \):

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

From the information given:

• \( M = 5 \)
• \( B = 9 \)

Substituting these values into the midpoint formula:

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

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