Find the equation for the line that passes through point (3,4) and is parallel to the equation
3/2x-3y=27/2

- anonymous

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- amistre64

parallel means you use the same equation just plug in your x and y values to get a new sum

- amistre64

we can also start by getting rid of the fractions; multiply it all by 2

- amistre64

3x -6y = ..... ; now use your x and y

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- anonymous

im still confussed...

- amistre64

thats becasue you havent learned how math works yet...

- amistre64

if you tell me what your confused about, i might be able to help

- anonymous

nope i slept through my classes in high school and now its coming back to haunt me

- amistre64

do you recall the 5/5 = 1?

- anonymous

yes

- amistre64

then thats all i did to clear the fractions:
if theres a 2 on the bottom, what needs to be on top to clear it? a 2 right?
2/2 = 1

- amistre64

whatever you do to one thing you do to them all:
3(2)/2x -3(2)y = 27(2)/2
3x -6y = 27 looks better right?

- anonymous

i can do english or other subjects no problem but this stuff makes me feel so stupid

- amistre64

do you understand how i cleared the fractions?

- anonymous

yes that looks better

- anonymous

kinda

- amistre64

now, to get a parallel line; we use the same equation but that 27 is garbage to us; throw it out and get a new number there

- amistre64

this point they give you: (3,4) MEANS (x=3,y=4), so wherever you see an x plug in a 3; wherever you see a y plug in a 4

- anonymous

k...3x-6y so 3(3)-(4) ?

- amistre64

3x -6y = ____
3(3) - 6(4) = ____
9 - 24 = -15 ; thats our new number, -15
3x -6y = -15

- anonymous

nooooooooo
ok thats wat i was trying to type

- amistre64

:) typing and mathing are not compatible lol

- anonymous

ok im starting to kinda get it

- anonymous

im figuring that out

- anonymous

ok so now that we have this new equation how do i put it into slope intercept form

- amistre64

slope intercept means move it all over to one side except for a y

- anonymous

right

- amistre64

3x -6y = -15 ; -3x from both sides
-6y = -3x -15 ; multiply it all by -1
6y = 3x +15 ; divide both sides by 6
y = (3/6)x + 15/6 ; reduce fractions
y = (1/2)x + 5/2

- anonymous

where did u get 1
to multiply it by

- anonymous

-1 i mean

- amistre64

I could have used 128 and it would have changed nothing of the value.... but that seemed excessive lol

- amistre64

tell me does:
3 = 3?

- anonymous

ok...so it doesnt matter wat u multiply it by
yes

- amistre64

since 3=3 can we multiply at all by 4 and get a true result?
3=3 [4]
12 = 12 ??

- anonymous

um yes

- amistre64

then it really doesnt matter "where" I got it from, cause the results are the same regardless right?

- anonymous

yes i see now

- amistre64

I choose it because its useful to me , thats all.

- anonymous

ok

- amistre64

I wanted to clear out the negatives; and used 1 to keep the number looking the same

- anonymous

oh ok

- amistre64

-3x = -14 ; if we multiply it all by -1, we clear out the negative signs
3x = 14 ; now we have a prettier equation to work with and it still has the same value

- anonymous

when i look at this its like another language i cant understand.

- amistre64

:) thats cause math had to invent new symbols to express itself

- amistre64

the only place you see 1+1 is on paper lol

- anonymous

im glad that there are people who can understand it

- amistre64

me too ;)

- anonymous

im so mathematically challenged its not even funny

- anonymous

the fact that this class is partly online doesnt help either

- amistre64

im sure you mean doing it on paper; math is something you do all the time, its just that when we try to define it so that we can discuss it, people get wierded out

- anonymous

its called hawkins courseware. it doesnt explain it very clearly

- amistre64

i tried an online course once, had to drop it cause my car broke and couldnt afford books afterwards, but id much rather sit in a class

- anonymous

i can do english or history online but im not so sure i can do this algebra

- amistre64

:) algebra is fine

- anonymous

i hope one day i will think that way...lol

- anonymous

thanks for your help

- amistre64

youre welcome :)

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