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

K(6, 9)

Explanation:

Let the K coordinates be (x, y)

Mid-point formula:

`\sf (x_m, y_m) = ((x_1+x_2)/(2), (y_1+y_2)/(2))`

Applying formula:

`\sf (-3,\:-1) = (\:(-12+x)/(2) ,\: (-11+y)/(2) )`

Comparing expression:

`\sf (-12+x)/(2) = -3 \quad and \quad (-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)