QUESTION IMAGE
Question
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 l m n p q point m point n point p point q
Step1: Identify coordinates
The coordinate of point L is - 4 and the coordinate of point Q is 8.
Step2: Use mid - point formula
The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(M=\frac{x_1 + x_2}{2}\). Here \(x_1=-4\) and \(x_2 = 8\), so \(M=\frac{-4 + 8}{2}=\frac{4}{2}=2\).
Step3: Match with points
The point with coordinate 2 on the number line is point N.
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point N