Question

1 point m is the midpoint of segment kl. point n is the midpoint of segment ml. point k is located at (-7,-6), and point l is located at (1,10). what are the coordinates of point n? a. (-5,-2) b. (-1,6) c. (-2,6) d. (-3,2)

Explanation:

Answer:

First, find the mid - point \(M\) of segment \(KL\) using the mid - point formula \((\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). For \(K(-7,-6)\) and \(L(1,10)\), the coordinates of \(M\) are \((\frac{-7 + 1}{2},\frac{-6+10}{2})=(-3,2)\).

Then, find the mid - point \(N\) of segment \(ML\). For \(M(-3,2)\) and \(L(1,10)\), the coordinates of \(N\) are \((\frac{-3 + 1}{2},\frac{2 + 10}{2})=(-1,6)\)

So the answer is B. (-1,6)