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QUESTION IMAGE

use the number line to find the coordinate of the midpoint of \\(\\over…

Question

use the number line to find the coordinate of the midpoint of \\(\overline{jn}\\).
(number line with points j at -7, k at -4, l at -2, m at 0, n at 3, p at 5)

Explanation:

Step1: Identify coordinates of J and N

From the number line, the coordinate of \( J \) is \( -7 \) and the coordinate of \( N \) is \( 3 \).

Step2: Apply midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substituting \( x_1 = -7 \) and \( x_2 = 3 \), we get \( \frac{-7 + 3}{2} \).

Step3: Calculate the midpoint

First, simplify the numerator: \( -7 + 3 = -4 \). Then divide by 2: \( \frac{-4}{2} = -2 \).

Answer:

\( -2 \)