Question

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)? ​

Answer 1

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