Question

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

Answer 1

Answer: 2 times sqrt(181) (approximately 26.9)

Step-by-step explanation:

First, we can plot these points on a graph. Then, we’ll use the Distance Formula to calculate the distance between the two points, which is sqrt(181).

Since the problem tells us that one of our coordinates is the midpoint of K, we know that the length of the segment we just calculated is 1/2 of K. We can multiply our answer to get that K is 2 times sqrt(181).

Answer 2

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)