Question

If the midpoint between (18, y) and (20, -15) is (19, -5), find the value of y.

Answer 1

thanks so much

Answer 2

@junyang96 can you help me with this?

Answer 3

If we draw our points like this:

We can tell that since (19, -5) is the midpoint it means that the y-difference between (18, y) and (19,-5) is the same as the y-difference between (19,-5) and (20, -15) which is:
$$ -5 - (-15) = -5 + 15 = 10
$$What that means is that the y of (19, -5) is bigger than the y of (20, -15) by 10.
So that means that the y of (18, y) is bigger than the y of (19, -5) also by 10:
$$
y = -5 + 10 = 5
$$

Answer 4

My (amazing) drawing was deleted for some reason

\( \Huge ☺ \)

Answer 5

the answer i came to was that y=5, is that correct?
@pitamar

Answer 6

Ye, that's what I got up here too =)

Answer 7

Ill tell yo if its correct when the work is graded

Answer 8

Ok =)