dwanthomas12 dwanthomas12
  • 25-08-2019
  • Mathematics
contestada

Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?

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tramserran
tramserran tramserran
  • 25-08-2019

Answer: (-6, 5)

Step-by-step explanation:

Use the Midpoint Formula: [tex]\dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)[/tex]

Separate the x's and y's and solve them individually:

[tex]\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5[/tex]

            So, the k-coordinate is (-6, 5)

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