Question

T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

Answer 1

Answer:

$L = (-10,10)$

Step-by-step explanation:

Given

$K = (2,-6)$

$T = (-4,2)$

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

$T_x = \frac{K_x + L_x}{2}$

and

$T_y = \frac{K_y + L_y}{2}$

Solving for $L_x$

$T_x = \frac{K_x + L_x}{2}$

$-4 = \frac{2 + L_x}{2}$

Multiply through by 2

$-8 = 2 + L_x$

$L_x = -8 - 2$

$L_x = -10$

Solving for $L_y$

$T_y = \frac{K_y + L_y}{2}$

$2 = \frac{-6+L_y}{2}$

Multiply through by 2

$4 = -6 + L_y$

$L_y = 4 + 6$

$L_y = 10$

Hence: The coordinates of L is:

$L = (-10,10)$