Question

what is the midpoint of \overline{lq}?
point m
point n
point p
point q

Explanation:

Step1: Determine coordinates of L and Q

From the number - line, the coordinate of \(L\) is \(x_{1}=-4\) and the coordinate of \(Q\) is \(x_{2}=8\).

Step2: Use the mid - point formula

The mid - point formula for two points on a number line is \(M=\frac{x_{1} + x_{2}}{2}\). Substitute \(x_{1}=-4\) and \(x_{2}=8\) into the formula: \(M=\frac{-4 + 8}{2}=\frac{4}{2}=2\).

Step3: Identify the point corresponding to the mid - point

The point with coordinate \(2\) on the number line is point \(N\).

Answer:

point N