Write an equation of the line containing the given point an parallel to the given line.
(7,-6); 7x-9y=4
The equation of the the line is Y=

- anonymous

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- anonymous

7x-9y=4 => slope = 7/9
the equation of the line will be
y=mx+b
-6=(7/9)*7+b
and then solve for b

- anonymous

im still confuse with this..

- anonymous

which step?

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## More answers

- anonymous

the line is parallel to the given line, so it has the same slope

- anonymous

how would i write the equation for Y=

- anonymous

hi, first before we get the parallel line equation,:
from this equation
7x-9y=4 what is y=?

- anonymous

y= 7/9x-4/9

- anonymous

ok good with this line y= 7/9x-4/9 what is your slope m=?

- anonymous

hmm seems like you dont like an interaction question and answer,,... :D
ok after getting the slope of this line y= 7/9x-4/9 , also get the slope of parallel to this
line then form an equation of line from the point (7,-6) with that slope of parallel line..
..

- anonymous

@ MauriceLong
did you get it ?

- anonymous

the slope is 4

- anonymous

ok

- anonymous

can u help me solve this problem please

- anonymous

im sorry the slope of parallel line is the same m1=m2 so you can form another line
using this slope m1, using the point(7,-6) and the formula y1-y=m(x-x1)

- anonymous

ok. i am getting a better understanding on this so far.

- anonymous

from
y= mx + b
y= 7/9x - 4/9 what is the slope m?

- anonymous

yesss just answer what i ask you and you will get it ... :D

- anonymous

try to compare the formula to the one you answered on y=7/9 x -4/9

- anonymous

would i have too subtract 7/9-4/9

- anonymous

by comparing the formula
from
y= mx + b
y= 7/9x - 4/9 what is the slope m? we know that b=4/9, what is slope m?

- anonymous

no you cant subtract because 7/9 x has an x with it and the 4/9 has no x.. so they are different terms

- anonymous

ok

- anonymous

if it would be 7/9x - 4/9 x then its ok to subtract but this time they are not.. :D
go ahead you can ask me more question what do you want to know

- anonymous

|dw:1354520274544:dw|

- anonymous

im having a hard time solving this problem

- anonymous

ok i will show you the easy way of doing the solution of it,,, :D

- anonymous

ok

- anonymous

we want to know the slope m of this particular line
|dw:1354578182118:dw|

- anonymous

from
y= mx + b
y= 7/9x + - 4/9 we know that b=-4/9,, what is slope m=?

- anonymous

I dont know how too get the slope. Confuse.

- anonymous

do i subtract -4/9 too both sides

- anonymous

i will give you more examples
if y= 3x +4... the slope of this is m=3 and b=4
for f(x)=1/3 -7 the slope of this line is m=1/3 and b=-7

- anonymous

so the slope is 4/9

- anonymous

from
y= mx + b
y= 7/9x + - 4/9
that is b=-4/9,, what is m?

- anonymous

m=7/9

- anonymous

yessss : correct :D

- anonymous

so now that you know m=7/9,
we also have the point (x1,y1)=(7,-6);
use that given to the formula
y-y1=m(x-x1)

- anonymous

y-y1=7/9(x-x1)

- anonymous

correct but you also have to sub
what is x1 and y1
(x1,y1)=(7,-6); sub thius to what you have done you are getting closer :D

- anonymous

7x-6y

- anonymous

this is what you said the answer y-y1=7/9(x-x1)
all you need to do is to sub what is x1 and y1 there

- anonymous

(x1,y1)=(7,-6); sub this to your answer y-y1=7/9(x-x1)

- anonymous

if you have a point of (7,-6) your x1=7 and y1=-6... therefore
this can be like this
(x1,y1)=(7,-6)

- anonymous

therefore plug those x1 =7 and y1=-6 to your answer y-y1=7/9(x-x1)

- anonymous

y=7/9(x-6)

- anonymous

y - y1 = 7/9 ( x - x1 )
y - ____ = 7/9 (x - ______)

- anonymous

y-6=7/9(x-7)

- anonymous

the point is (7 , -6)
( x1,y1) x1=7 and y1= -6 careful on negative sign, put the negative sign
on 6... you are getting closer to the correct answer

- anonymous

y - y1 = 7/9 ( x - x1 )
y - ____ = 7/9 (x - ______) give it more try ill tell you if you are correct :D

- anonymous

your answer
y-6=7/9(x-7)
-6 is not correct because y- -6=__?

- anonymous

y - y1 = 7/9 ( x - x1 ) ....
y - ____ = 7/9 (x - 7) give it more try on the y, ill tell you if you are correct :D
- - 6 is not= -6

- anonymous

y - y1 = 7/9 ( x - x1 )
y - -6 = 7/9 (x - 7) try to simplify this more

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