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:
[tex]\displaystyle m_x=\frac{j_x+k_x}{2}[/tex]
[tex]\displaystyle m_y=\frac{j_y+k_y}{2}[/tex]
We are given the coordinates of M and need to find the coordinates of K. From the equations above, solve for kx and ky:
[tex]k_x=2m_x-j_x[/tex]
[tex]k_y=2m_y-j_y[/tex]
The points are M(6,3) and J(14,9), thus:
[tex]k_x=2\cdot 6-14=-2[/tex]
[tex]k_y=2\cdot 3-9=-3[/tex]
The coordinates of endpoint K are (-2,-3)
