Question

Find the coordinates of the other endpoint of the segment with the given endpoint and midpoint.
Endpoint: (0,11)
Midpoint: (9,10)

Answer 1

these brothers trying to make our head work

Answer 2

i have the formula (x1+x2)/2 , (y1+y2)/2 written on my notes

Answer 3

the way I see it, from the endpoint, it rose by -1 and ran by +9 so we do that again and we get our other end point

Answer 4

so -1 on the y axis and +9 on the x axis

Answer 5

how do i plug that in the formula my teacher whack and wants work shown

Answer 6

Oh that's the formula for the midpoint but I just went through a lecture so I told you how to do it the dumb way lol

Answer 7

umm so you gotta separate the y and x coordinates.

\[M = ( \frac{ x _{1} + x _{2}}{ 2 } , \frac{ y _{1} + y _{2} }{ 2 })\]
\[x = \frac{ x _{1} + x _{2}}{ 2 }\]
\[y = \frac{ y _{1} + y _{2} }{ 2 }\]

Answer 8

Do you see what you have to do?

Answer 9

yea i wrote tht down like tht already

Answer 10

idk how to work it out

Answer 11

what is 'x' in this case

Answer 12

and 'y'

Answer 13

what

Answer 14

think about what this formula is for

Answer 15

Look at my bottom two equations

Answer 16

x=x1+x2/2
x=0+x2/2

y=y1+y2/2
y=11+y2/2

Answer 17

i have an example from class too

Answer 18

Yeah so you inputted the first endpoint but what are you solving for

Answer 19

just trust me with this

Answer 20

the other endpoint

Answer 21

and you can't solve for the other endpoint if you have two unknown variables (x and x2). x2 is the x coordinate of the other endpoint, so what is x?

Answer 22

in (x1 + x2)/2 = x

Answer 23

what
x=x1+x2/2
x=0+x2/2

Answer 24

yeah so what is x, your variable on the left

Answer 25

what is that equation solving for

Answer 26

where did we get these equations from

Answer 27

is this supposed to be an easy question or am i dumb

Answer 28

What formula did I post

Answer 29

What does it solve for

Answer 30

\[M = ( \frac{ x _{1} + x _{2}}{ 2 } , \frac{ y _{1} + y _{2} }{ 2 })\]

this one

Answer 31

midpoint

Answer 32

so what would x be

Answer 33

the endpoint

Answer 34

what

Answer 35

not x1 or x2, i'm talking about\[x = \frac{ x _{1} + x _{2} }{ 2 }\]

Answer 36

if x1 is the x coordinate of the first endpoint and x2 is the x coordinate of the second endpoint, then what is x?

Answer 37

What is that solving for?

Answer 38

segment what i dont know this hurts my brain

Answer 39

the x coordinate of the midpoint

Answer 40

the coordinates of the midpoint

Answer 41

yep

Answer 42

r u serious

Answer 43

lol

Answer 44

you have that so I'm sure you know what to do now

Answer 45

solve for x2

Answer 46

my ride is here so I'll be on mobile later

Answer 47

ok thanks for the help

Answer 48

You got it?

Answer 49

i got (18,20) as my answer

Answer 50

Check your work again for y

Answer 51

wow, i skpped a whole step.
(18, 9)

Answer 52

You got it, good job

Answer 53

thanks! can you check my others?

Answer 54

endpoint: (13,12)
midpoint: (7.5,5)

answer: (2,-2)

Answer 55

Recheck x

Answer 56

are you sure? what did i do wrong?

Answer 57

7.5=13+x2/2
7.5*2=13+x2
15-13=x2
2=x2

Answer 58

Nvm you’re good.

Answer 59

oh good

Answer 60

2 more?

Answer 61

endpoint: (-10,-2)
midpoint: (-2.5, -9.5)
answer: (-5, -21)

Answer 62

\[x = \frac{ x _{1} + x _{2} }{ 2 })\]
\[-2.5 = \frac{ -10 + x _{2} }{ 2 }\]
\[2 \times -2.5 = \frac{ -10 + x _{2} }{ 2 }\]
\[-5 = -10 + x _{2} \]
\[5 = x_{2}\]

Answer 63

-19 + 2 = -17

You made the same mistake.

\[a - 1 = -2\]
When you deal with situations like this when there is a negative on both sides and you are isolating the variable, you want to cancel out the constant by the variable, in this case it is -1. So you add 1 to both sides, not -1. If you add -1 to both sides you get:
\[a -2 = -3\]
That is what you were doing for the last step.

Answer 64

ah, i always get confused with those negatives

Answer 65

Yeah the best way to think about it is as a number line.

If its a negative number, when you add 2 it becomes more positive, if you add -2 it becomes more negative. That's why subtraction can be rewritten like this:
\[a - b = a + -b\]

Answer 66

endpoint: (7, -7)
midpoint: (17.5, -0.5)

answer : (28,-8)

Answer 67

2 times -0.5 = -1
-1 + 7 = 6

Answer 68

Similar mistake as to earlier

Answer 69

ah, sorry