Question

The midpoint of K is M(-3, -1). One endpoint is J(-12, -11). What are the coordinates of endpoint K?
K=

Answer 1

Answer:

K(6, 9)

Step-by-step explanation:

Let the K coordinates be (x, y)

Mid-point formula:

$\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})$

Applying formula:

$\sf (-3,\:-1) = (\:\dfrac{-12+x}{2} ,\: \dfrac{-11+y}{2} )$

Comparing expression:

$\sf \dfrac{-12+x}{2} = -3 \quad and \quad \dfrac{-11+y}{2} = -1$

$\sf -12+x = 2(-3) \quad and \quad -11+y = 2(-1)$

$\sf x = -6 + 12 \quad and \quad y = -2 + 11$

$\sf x = 6 \quad and \quad y = 9$

So, coordinates of K is (6, 9)