posted by jake on .
A line segment has an endpoint at (3,2). If the midpoint of the line segment is (6.-2), what are the coordinates of the point at the other end of the line segment?
please answer i need it by next class...
It's all a matter of knowing the basic distance and midpoint formulas.
The distance between two points with coordinates (x1,y1) and (x2,y2) is given by d=the square root of (x2-x1)^2 + (y2-y1)^2
If a line segment has endpoints at (x1,y1) and (x2,y2) the the midpoint of this line segment is found at (x1+x2/2, y1+y2/2)
In your case, you have two options. You can plug the two coordinates given into the distance formula and find the distance and then, plug (6,-2) and whatever distance you got before into it again to find the other point. Or you could plug all of the information you have into the midpoint formula and solve it out to find the other point.
Hope this helps!