Question

Indicate the equation of the given line in standard form.

The line with slope 9/7and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

Answer 1

What is the midpoint of (2, -3) and (-6, 5) ?

Answer 2

9/7 ?

Answer 3

That's the given slope

Answer 4

You need to use the midpoint formula. Are you familiar with that formula?

Answer 5

then i dont know ?

Answer 6

The midpoint formula is

http://geometry.jdeer.com/Images/c1/midpoint%20formula.gif

Answer 7

Essentially what you do is add up the corresponding coordinates. Then divide by 2.

Answer 8

I know the formela but i get confused on how to use it its really hard

Answer 9

For instance, add up the x coordinates to get

2 + (-6) = 2 - 6 = -4

Then divide that by 2 to get -4/2 = -2

So the x coordinate of the midpoint is x = -2

Answer 10

What do you get when you do that with the y coordinates?

Answer 11

m=-3-5=4-5

Answer 12

like that because i dont know its to confusing

Answer 13

actually it should be -3 + 5 = 2

Then you divide by 2 to get 2/2 = 1

So the y coordinate of the midpoint is y = 1

Answer 14

Therefore, the midpoint is (-2,1)

Answer 15

So what you need to do now is find the equation of the line with

slope = 9/7

and

it goes through the point (-2,1)

Answer 16

do I divide 9/7 and -2 1

Answer 17

no you must use y = mx+b and plug in m = 9/7, x = -2, y = 1

Then solve for b

Answer 18

i put it into a caulator and i got -126

Answer 19

y = mx+b

1 = (9/7)*(-2)+b

1 = -18/7+b

solve for b

Answer 20

i dont know how to make the eqaution for the answer

Answer 21

You need to add 18/7 to both sides

Answer 22

i dont know if this is correct but 41 and 27

Answer 23

nope

Answer 24

46

Answer 25

so what does that eqaution look like its mx+b=c right

Answer 26

1 + 18/7

7/7 + 18/7

(7+18)/7

25/7

Answer 27

So, 1 + 18/7 = 25/7

which means b = 25/7

Answer 28

m = 9/7 (given)
b = 25/7 (just found this)

Answer 29

plug those into y = mx+b to get the equation

Answer 30

ok so x+9/7=25/7

Answer 31

like that ?....

Answer 32

no

Answer 33

See attached

Answer 34

x Y
- - - - - - - - - -

Answer 35

okay i understand that but how to i plug it in to my answer so it makes sence

Answer 36

Are you able to post a screenshot of that?

Answer 37

sorry its not letting me

Answer 38

But it is what it looks like i just have to put the numbers in so they fit with x and y

Answer 39

Oh you just have to make the equation look like what I posted in the final answer

Answer 40

So you have to create a fraction 9/7 for the slope and 25/7 for the y-intercept

Answer 41

SWEET THANKS!:) for are your help :)

Answer 42

you're welcome