Question #c7208

1 Answer
Dec 14, 2017

Point Q = (10, 11)

Explanation:

The formula to find the coordinates of a midpoint of a line between two points #(x_1, y_1)# and #(x_2,y_2)# is simply the average of the #x# coordinates and the #y# coordinates:

#((x_1+x_2)/2, (y_1+y_2)/2)#

Hence, we know that #1/2 (x_Q + -8)# is equal to the #x# coordinate of the midpoint, which is, in this case, 1.

Thus,

#1 = 1/2 (x_Q - 8)#
#2 = x_Q -8#
#x_Q = 10#

Likewise, for the #y# coordinate:

#7 = 1/2 (y_Q + 3)#
#14 = y_Q + 3#
#y_Q = 11#

Hence the coordinates of point Q are:
#(10, 11)#