Question

I need step by step help for answer asap
(2,b) and (4,6) is parallel to the line joining (1,4) and (-1,7). find b.

Answer 1

First Find the slope

Answer 2

to the line that is parallel to the line (4,6) and (2,8)

Answer 3

i get 1/-3 for that

Answer 4

then for b. i get 6-b/2

Answer 5

how do i combine to get b?

Answer 6

Hmm.. well for starters the slope isn't 1/-3 for (-1,7) and (1,4)

Answer 7

do you know the slope formula?

Answer 8

no

Answer 9

well the slope formula is (\[\Delta Y/ \Delta X\]

Answer 10

so Y2 - Y1 / X2 - X1

Answer 11

in this case ...

Answer 12

in (1,4) 1 is the X1 and 4 is the Y1

Answer 13

and in(-1,7) -1 is the X2 and 7 is Y2

Answer 14

3/-2 for sloppe

Answer 15

slope*

Answer 16

yes

Answer 17

Now we know that the line foe (2,b) AND (4,6) is parallel to (1,4) and (-1,7)

Answer 18

So that mean that they share the same slope

Answer 19

yes

Answer 20

So far in our equation we have Y = 3/-2 +B

Answer 21

so would i get 3/-2+3/2 = 9 so b=9

Answer 22

not exactly

Answer 23

\[Y= 3/-2X +b\] If we take (4,6) and plug the 4 in the x's place and the 6 in the y's place what would b need to be in order to make that happen

Answer 24

*\[y=(3/-2)x+b\]

Answer 25

-6

Answer 26

\[y=(3/-2)x\] replace the y with 6 and x with 4
\[(6)=(3/-2)(4)+b\]

Answer 27

y=-6x+b

Answer 28

6=-6x+b

Answer 29

No not exactly

Answer 30

y=(3/−2)x+b
replace the y with 6 and x with 4
(6)=(3/−2)(4)+b

Answer 31

you should get

Answer 32

6=6+b

Answer 33

then subtract 6 from both sides?

Answer 34

*6=-6+b

Answer 35

Then add sorry i made a typo D:

Answer 36

12

Answer 37

SO what we have so far is 6=-6+b

Answer 38

yes b will be 12

Answer 39

but we arent done yet

Answer 40

so our equation should be

Answer 41

y=(3/-2)x+12

Answer 42

now we need to figure out b for (2,b) so we place the x with 2 and replace with y with b and see the out come for b

Answer 43

so what we have now is

Answer 44

b=(3/-2)(2)+12

Answer 45

b=9 :)

Answer 46

Yesh XD

Answer 47

thanks

Answer 48

:3 Good job ;O