The midpoint of segment AB is (6. 5). The coordinates of point A are (7, 10). How do you find the coordinates of point B?

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Answer 1 · 2016-12-30T16:08:18

#:.B(7,0)#

Substitute the values into the formula for the midpoint:

x co-ordinate: #x = (x_A+x_B)/2# and y co-ordinate: #y = (y_A+y_B)/2#

#6 = (7+x_B)/2" "# and #" "5 = (10+y_B)/2#

#12 = 7+x_B" "# and #" "10= 10+ y_B#

#12-5 = x_B" "# and #" "10-10 = y_B#

#7=x_B" "# and #" "0=y_B#

#:.B(7,0)#