Question

practice determining the measures of line segments and angles. what is the midpoint of \\(overline{lq}\\)? the number line has points: l at -4, m at -1, n at 2, p at 3, q at 8. options: point m, point n, point p, point q

Explanation:

Step1: Identify coordinates of L and Q

From the number line, the coordinate of \( L \) is \( -4 \) and the coordinate of \( Q \) is \( 8 \).

Step2: Apply midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \).
Substitute \( x_1 = -4 \) and \( x_2 = 8 \) into the formula:
\[
\frac{-4 + 8}{2} = \frac{4}{2} = 2
\]
The coordinate \( 2 \) corresponds to point \( N \).

Answer:

point N