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?

Question

ENDPOINT (0,0) MIDPOINT (2, -8)

Answer 1

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.

Answer 2

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)

Answer 3

thank you both!!!