Question

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. (-1,6) b. (-3,2) c. (-2,6) d. (-5,-2)

Explanation:

Step1: Find coordinates of M

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. For points $K(-7,-6)$ and $L(1,10)$, the x - coordinate of $M$ is $\frac{-7 + 1}{2}=\frac{-6}{2}=-3$, and the y - coordinate of $M$ is $\frac{-6+10}{2}=\frac{4}{2}=2$. So $M(-3,2)$.

Step2: Find coordinates of N

Now, use the mid - point formula for points $M(-3,2)$ and $L(1,10)$. The x - coordinate of $N$ is $\frac{-3 + 1}{2}=\frac{-2}{2}=-1$, and the y - coordinate of $N$ is $\frac{2 + 10}{2}=\frac{12}{2}=6$.

Answer:

A. (-1,6)