Question

how do you put
Y+3=-5/6(x-1) into standard form?

Answer 1

do you know what the standard form is?

I would usually say it is y = mx + b, where m is the slope and b is the y intercept.

However, if your class has said something different, we can use that...

Answer 2

they are using y=mx+b

Answer 3

good :)

So you need to multiply out and simplify the equation they gave you:

Y+3=-5/6(x-1) <<-- is the (x-1) in the denominator or numerator??

Answer 4

so...i got Y+3=-5/6X+5/6 WHATS THE NEXT STEP?

Answer 5

guess it was the numerator.

So then subtract 3 from both sides to get y all alone on the left.

y +3 -3 = -(5/6)x +(5/6) - 3
y = -(5/6)x +(5/6) - 3

Then get a common denominator and combine (5/6) and -3 and you will be done

Answer 6

Y=-5/6X-13/6.... AND THEN IM STUCK?

Answer 7

no, you are done :)

That is the standard form:

y = -(5/6)x - (13/6)

is of the same form as...
y = mx + b

where m = -5/6
and b = -(13/6)

That's all there is... you found the standard form :)

Answer 8

THATS ACTUALLY POINT SLOPE FORM.
STANDARD FORM IS Ax+By=c and I dont know how to solve for that

Answer 9

sorry.:(

Answer 10

?????

Answer 11

ok... you are right, it is Ax+By=C
no fractions, and A has to be positive.

Answer 12

I would clear the fractions first so that we just don't have to worry about that any more.
Clear your fractions by multiplying by 6 on both sides.

Answer 13

I get\[6y+18=-5(x-1)\]Are you with me?

Answer 14

y=-5x-13?

Answer 15

I'm starting from what you wrote in your original post.
y+3=(-5/6)(x-1)

Answer 16

ok

Answer 17

This is point-slope form. We need to get every variable over to the left with no fractions, in alphabetical order ( x then y ) and with no negative in front of the x term.

Answer 18

I want to get rid of the fraction first, so we can just forget about fractions.

Answer 19

ok but how did u get rid of the fractions on the right side

Answer 20

If the fraction involved has a 6 in the denominator, I can kill it by multiplying both sides by 6.

Answer 21

This uses the "balanced equation" concept to keep both sides equal... I multiply the right by 6 to kill the fraction. I multiply the left side by 6 to keep things balanced.

Answer 22

ok got it an then..

Answer 23

i get 6y+18=-5x+1

Answer 24

So the result should be
6y+18=(-5)(x-1)

Answer 25

You need to distribute that -5 to both terms inside the parenthesis.

Answer 26

6y+18=-5x+5

Answer 27

so for my answer i get 5x+6y=-19 is this right?

Answer 28

not quite...

Answer 29

:(

Answer 30

you have the x and y parts right

Answer 31

but if you distribute correctly... the number to use is... subtract 5 from both sides.

Answer 32

wait

Answer 33

???

Answer 34

I mean subtract 18 from both sides... der

Answer 35

so 5x+6y=-17

Answer 36

check that distribution step...
6y+18=-5(x-1)
leads to
6y+18=-5x+5

Answer 37

then move the x term
5x+6y+18=5

Answer 38

then subtract 18 from both sides
5x+6y=5-18

Answer 39

5-18=?

Answer 40

-13

Answer 41

yes!

Answer 42

so...
5x+6y=-13

Answer 43

that is standard form

Answer 44

thank you soo much:)

Answer 45

You're welcome! :)