Engineering Board Exam Reviewer · Division of Line Segment · easy

If (-2,-4) is the midpoint of (6,-7) and (x,y), then the values of x and y are

  1. x=2, y=1
  2. x=-10, y=-1
  3. x=10, y=-1
  4. x=-8, y=-1

Answer

B. x=-10, y=-1

Solution

Using the midpoint formula: -2=6+x/2 gives x=-10, and -4=-7+y/2 gives y=-1.

More Division of Line Segment questions

  1. ECE Board November 1998: Determine the coordinates of the point which is three-fifths of the way from the point (2,-5) to the point (-3,5).
  2. ECE Board April 1998: The segment from (-1,4) to (2,-2) is extended three times its own length. The terminal point is
  3. EE Board April 1995: The line segment connecting (x,6) and (9,y) is bisected by the point (7,3). Find the values of x and y.

All Division of Line Segment questions