Question

HELP ASAP MATH QUESTION The midpoint of a line segment is located at (3, -2). If one of the endpoints is (1, 6), what is the other endpoint? Express your answer as an ordered pair.

Answer 1

(5, -10)

Explanation:

`Midpoint = (3,-2)\\1st \: endpoint = (1,6)\\2nd \: endpoint = ?\\\\\\Let \: (1,6) \:be \:x_1y_1\\Let\:(3,-2)\: be\:x\:and\:y\\\\x=(x_1+x_2)/2\\y=((y_1+y_2))/(2) \\\\3 =(1+x_2)/(2) \\\\3* 2 =1+x_2\\\\6 = 1+x_2\\6-1=x_2\\\\x_2 =5\\\\y=((y_1+y_2))/(2) \\-2 = (6+y_2)/(2)\\\\ -2 * 2= 6+y_2\\\\-4 = 6+y_2\\\\-4-6=y_2\\\\y_2 = -10\\\\Answer = (5 ,-10)`