Question Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint 1: (0, 2) Midpoint: (8,-9) Endpoint 2= ( Endpoint Check

The required other endpoint coordinates of line segment with one endpoint as (0,2) and a midpoint as (8,-9) is (16,-20). Let there be line segment AB with mid- point M . We have been given the coordinates of one endpoint and midpoint which are, A(0,2) and M(8,-9) We have to find the coordinates of B of the line segment. We know the formula of midpoint which is given as , (xm , ym) = [(x1 + x2)/2 , (y1 + y2)/2] (1) Where (xm , ym) are the coordinates of the mid point which are (8,-9) and (x1 , y1) = (0,2) are the coordinates of endpoint 1. Thus we have to find (x2 , y2) coordinates. Putting the required value in equation (1) we get (8 , -9) = [(0 + x2)/2 , (2 + y2)/2] Therefore, 8 = x2/2 -9 = (2+y2)/2 x2 = 16 y2 = -20 Hence the required coordinates of the other endpoint is B(16,-20) Learn more about mid point formula here : https://brainly.com/question/4728902 #SPJ9 Reply

line segmentwith one endpoint as (0,2) and amidpointas (8,-9) is (16,-20).line segment.coordinatesof the other endpoint is B(16,-20)mid point formulahere : https://brainly.com/question/4728902