Question

practice determining the measures of line segments and angles.
what is the midpoint of (overline{lq})?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
point m
point n
point p
point q

Explanation:

Step1: Find coordinates of L and Q

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

Step2: Use midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substituting \( x_1 = -4 \) and \( x_2 = 8 \), we get \( \frac{-4 + 8}{2}=\frac{4}{2}=2 \).

Step3: Identify the point at 2

From the number line, the point at \( 2 \) is \( N \).

Answer:

point N