Question

The midpoint of JKis M (6, 3). One endpoint is J (14, 9). Find the coordinates of endpoint K.

Answer 1

Answer:

The coordinates of endpoint K are (-2,-3)

Step-by-step explanation:

Midpoint

Given two points J(jx, jy) and K(kx, ky), the coordinates of the midpoint M(mx,my) are given by:

$\displaystyle m_x=\frac{j_x+k_x}{2}$

$\displaystyle m_y=\frac{j_y+k_y}{2}$

We are given the coordinates of M and need to find the coordinates of K. From the equations above, solve for kx and ky:

$k_x=2m_x-j_x$

$k_y=2m_y-j_y$

The points are M(6,3) and J(14,9), thus:

$k_x=2\cdot 6-14=-2$

$k_y=2\cdot 3-9=-3$

The coordinates of endpoint K are (-2,-3)

Answer 2

The endpoint K (-2, -3)