The midpoint is halfway from one end to the other. Just figure out ho wfar you've gone and go twice that far.
(-1,-6) - (3,10) = (-4,-16)
That is, you've added (-4,-16) to (3,10) to get to (-1,-6).
So, add it again:
(-1,-6) + (-4,-16) = (-5,-22)
Determine the coordinates of the endpoint of a segment CE with one endpoint at C(3,10) and a midpoint at (-1,-6).
Disclaimer: This is 10th grade geometry.
2 answers
Let the endpoint be (x,y)
so ..
(x+3)/2 = -1 and (y+10)/2 = -6
x+3 = -2 and y+10 = -12
x = -5 and y = -22
endpoint is (-5,-22)
so ..
(x+3)/2 = -1 and (y+10)/2 = -6
x+3 = -2 and y+10 = -12
x = -5 and y = -22
endpoint is (-5,-22)