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11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)? ​
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11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)? ​

User Dario
by
6.0k points

1 Answer

10 votes

Answer:

k = -3

Explanation:

Given

  • (-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)

Solving

  • Equate the midpoint and endpoints using the Midpoint Formula
  • Let's equate the x parts
  • -k = 2 + 1 - k / 2
  • -2k = 3 - k
  • -k = 3
  • k = -3
User Workerjoe
by
6.3k points
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