the midpoint of xy is (3, -5)the cordints of point x are (1, 5) what are the cordnites of point y

Answer 1

Hi! Ugh, did they really have to name the points "X" and "Y", when what we call the (1,5) of point "X" are its "x,y coordinates"? Yuck. Anyway, I can help you, it'll just take more work not to be confusing.

The midpoint is what you get when you add the coordinates of the two points on the ends, and divide by two. So the midpoint is (3, -5). What that means is that two points add up to double that: to (6, -10).

(That's what we divided in half to get the midpoint.)

First the x-coordinate: we know they add to 6, and we have a 1 as the x-coordinate of point "X". So the x-coordinate of "Y" is 5, because 5 + 1 = 6.

Now the y-coordinate: we know they add to -10. We have a 5 as the y-coordinate of point "X". So the y-coordinate of "Y" is -15, because 5 + (-15) = -10.

So the answer is that point "Y" is (5, -15). They seriously couldn't have named the points "A" and "B"???