Question

Line segment LN has endpoints L-2, -3) and N(3, 7).Which of the following determine the coordinates of point M located at the midpoint of LN?M= - (³2/2/², 2/³) 3-2 7-3M= =(3+2, 7+³)M = (-2-³, -3-7)M = (¹+³, 32)

Answer 1

The line segment LN has coordinates as follows;

$\begin{gathered} L=(-2,-3) \\ N=(3,7) \end{gathered}$

The midpoint of a line is derived with the following coordinates;

$M=\frac{(x_1+x_2)}{2},\frac{y_1+y_2}{2}$

The coordinates are thus;

$\begin{gathered} (x_1,y_1)=(-2,-3) \\ (x_2,y_2)=(3,7) \end{gathered}$

The midpoint, which is M, now becomes;

$\begin{gathered} M=\frac{-2+3}{2},\frac{-3+7}{2} \\ \text{Also, re-written as;} \\ M=\frac{3-2}{2},\frac{7-3}{2} \end{gathered}$

ANSWER:

The first option is the correct answer.