Question

The midpoint of a line segment with end points as (-10, y1) and (-6, 7) is (-8, 6). What is the value of y1?

-15

2

5

-1

Answer 1

Can you tell me what is the sum of y coordinates there??

Answer 2

uhmm idk

Answer 3

Sum of y coordinates of end points I am asking..

Answer 4

how do you find the endpoints?

Answer 5

See, the sum is :
\[y_1 + 7\]

Divide it by 2, then it will become equal to 6 (y coordinate of midpoint)

\[\frac{y_1 + 7}{2} = 6\]
Multiply 2 both the sides and can you find \(y_1\) from here??

Answer 6

ok hold on

Answer 7

Take your time..

Answer 8

\[y ^{1}+7\div 2\]

Answer 9

hold on this is kinda hard

Answer 10

Hard???

multiply by 2 both the sides and show me what you get??

Answer 11

\[2 \times \frac{(y_1 + 7)}{2} = 2 \times 6\]

Can you solve this??

Answer 12

2y^1 plus 14 over 2 = 12

Answer 13

Why are you not cancelling 2 with 2???

Answer 14

ok i will cancel it right now

Answer 15

2y^1 plus 14 = 12

Answer 16

2y^1=-2

Answer 17

How???

Answer 18

divide 2 to both sides and i think the answer is y=1

Answer 19

What are you doing??

Answer 20

i'm not sure this is confusing

Answer 21

Solve for LHS first..

Tell me what do you get:

\[2 \times \frac{(y_1+7)}{2}\]

What you get??

Answer 22

You have to simply cancel 2 with 2 and answer is the remaining part..

Solve this and tell me what do you get..

Answer 23

y^1 plus 7

Answer 24

Yes now you are right..

\[y_1 + 7 = 6 \times 2\]

Solve the RHS now:

What is 6*2 = ???

Answer 25

12

Answer 26

So write the entire now what it becomes after solving.

Answer 27

y^1 plus 7=12

Answer 28

Now subtract both the sides by 7

and you will have your answer...

Answer 29

y^1=5

Answer 30

Yes this is your answer..

Answer 31

ty very much

Answer 32

Welcome dear..