Question

help fast please!

The midpoint of a line segment with end points as (x, 4) and (-2, -2) is (2, 1). What is the value of x?

x=6
x=4
x=-3
x=-2

I know how to find the midpoint when given two points but this already gives the midpoint...:(

Answer 1

to find the midpoint, you average the coordinates

ie you add up the corresponding coordinates and divide by 2


so....

(x1+x2)/2 = x coordinate of midpoint

(x+2)/2 = -2 ... plug in the given values

now solve (x+2)/2 = -2 for x to get your answer

Answer 2

you are using the Midpoint formula and basically substituting the value for the Midpoint calculated as well to figure out the x.

Answer 3

including the two points given.

Answer 4

so (-3 + 2) / 2 = -2 right?

Answer 5

not quite

Answer 6

(x+2)/2 = -2

x+2 = -2*2

x+2 = -4

x = ???

Answer 7

i think...
x + 2 = - 4
- 2 -2

x = -6

???

Answer 8

good

Answer 9

i'm confused -6 isn't one of the answer choices...

Answer 10

then there must be a typo somewhere

Answer 11

because you have the correct answer

Answer 12

Let me check, give me a second...

Answer 13

The midpoint of a line segment with end points as (x, 4) and (-2, -2) is (2, 1). What is the value of x?

x = 6

x = 4

x = -3

x = -2

This is a copy and paste of the question, there is no typo.... :(

Answer 14

if x = -6, then...

(-6+2)/2

-4/2

-2

So adding up the x coordinates -6 and 2 and dividing by 2 gives -2, which is the x coordinate of the midpoint

Answer 15

so either there's a typo in the choices or the original points

Answer 16

idk can't find one...

Answer 17

say that the endpoint wasn't (2,1) and instead it was (-2, 1)

(x-2)/2 = -2

x-2 = -2*2

x - 2 = -4

x = -4 + 2

x = -2

So the answer would be x = -2 if the endpoint was (-2, 1)

but again this is just a guess

Answer 18

well not a typo that's your fault, i meant a typo by your teacher or the book's author

Answer 19

So there no other than to just pick one answer randomly right?
i'll just pick A because its closest to what our conclusion was...

Answer 20

oh wait, i completely mixed up the endpoint and midpoint because i read it out of order

my bad

the midpoint is (2,1)

the endpoints are (x, 4) and (-2, -2)

(x-2)/2 = 2

x-2 = 2*2

x-2 = 4

x = 4+2

x = 6

Answer 21

so the answer is actually 6

Answer 22

gotta read the instructions more carefully lol

Answer 23

hehe :)
well thanks for everything and now i know what equation to use if i get a question like this again ;)

Answer 24

you're welcome