Question

question 29 of 45
the points k, l, m, and n are on a number line from left to right such that km = 15 units, ln = 26 units, and kn = 32 units. the coordinate of l is 0, and the coordinate of k is a negative number. what is the coordinate of m?
a 6
b 9
c 11
d 15

Explanation:

Step1: Analyze the number line segments

We know the positions: \( K \), \( L \) (coordinate \( 0 \)), \( M \), \( N \) from left to right. \( KN = 32 \), \( KM = 15 \), \( LN = 26 \). First, find \( KL \) using \( KN - LN \).
\( KL = KN - LN = 32 - 26 = 6 \). But \( K \) is negative, \( L \) is \( 0 \), so \( K \) is at \( - 6 \).

Step2: Find coordinate of \( M \)

Since \( KM = 15 \) and \( K \) is at \( - 6 \), the coordinate of \( M \) is \( K + KM \) (as \( M \) is to the right of \( K \)).
\( M = - 6 + 15 = 9 \).

Answer:

B. 9