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I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!

Find the other endpoint of the line segment AB, if the midpoint is (4, -5) and one of the endpoints is (-2, 12).

ANSWER CHOICES:
(-10, 22)
(1, 3.5)
(10, -22)
(3.5, 1)

Respuesta :

Answer:

(1, 3.5)

Step-by-step explanation:

First, find the slope between the two points

Slope = (y2-y1)/(x2-x1) = [12-(-5)]/[-2-4] = 17/(-6)

y = -17/6x + b, plug in point to find y-intercept or 'b'

12 = -(17/6)(-2) +b

b = 19/3

Equation = y = -17/6x + 19/3

Plug in all the points into the equation and see which one is true

(1, 3.5) works

3.5 = (-17/6)(1) + 19/3

3.5 = 7/2

3.5 = 3.5

Answer:

10,-22

Step-by-step explanation:

For x:  from -2   to 4  is   6 units....add 6 more units to midpoint and x = 10

for y :  from 12 to -5  is  - 17 units  ...add -17 more units to midpoint   y = -22

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