posted by ggift on .
I am looking everywhere.....in my notes and in my chapter. What would the other endpoint of a line segment with the given midpoint and one endpoint?
ENDPOINT (0,0) MIDPOINT (2, -8)
Use the midpoint formula:
x coordinate: (1st_x + 1st_y)/2
y coordinate: (2nd_x + 2nd_y)/2
So you could put it into an equation like this:
2 = (0 + x)/2 (for the x coordinate)
-8 = (0+ y)/2 (for the y coordinate)
I know it may have seemed confusing how I wrote it out, so please ask if you need any clarification of my solution.
let the other endpoint be (a,b)
using the midpoint formula
((a+0)/2,(b+0)/2) = (2,-8)
so a/2 = 2 or a=4
and b/2 = -8, or b = -16
the other endpoint is (4,-16)
check by finding the midpoint between (0,0) and (4,-16)
thank you both!!!