Question

what is the coordinate of the midpoint of $overline{lm}$? write your answer as an integer or a decimal, or mixed number in simplest form.

Explanation:

Step1: Recall mid - point formula

For two points on a number line with coordinates \(x_1\) and \(x_2\), the mid - point \(M\) has the coordinate \(M=\frac{x_1 + x_2}{2}\). Here \(x_1 = 96\) (coordinate of \(L\)) and \(x_2=98\) (coordinate of \(M\)).

Step2: Calculate the mid - point

Substitute \(x_1 = 96\) and \(x_2 = 98\) into the formula: \(M=\frac{96 + 98}{2}=\frac{194}{2}=97\).

Answer:

97