If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the coordinates of T. What is the answer to this question?

1 Answer
Mar 16, 2018

#T=(7,-11)#

Explanation:

#"let the midpoint be "M(4,-3)#

#"since M is the midpoint then"#

#vec(SM)=vec(MT)#

#rArrulm-uls=ult-ulm#

#rArrult=2ulm-uls#

#color(white)(rArrult)=2((4),(-3))-((1),(5))#

#color(white)(rArrult)=((8),(-6))-((1),(5))=((7),(-11))#

#rArr"coordinates of T "=(7,-11)#