Question

Find the slope-intercept form of each equation. x+3y=6

Answer 1

Slope-Intercept Form
\[y = mx + b\]

Answer 2

what?

Answer 3

yeah thats the standard form of slope intercept form.
so you got to get x+3y=6 into y = mx + b (aka slope intercept form)

Answer 4

so 3y=mx+b?

Answer 5

x+3y=6

Lets go step by step

So first:
subtract the x from both sides

x+3y=6
-x -x
--- ----

What do you get?

Answer 6

3y=6-x

Answer 7

YES! :)

3y = 6 - x
BTW it is the same as 3y = -x + 6


Second:
divide both sides by 3

3y = -x + 6
--- --- ---
3 3 3

what do you get?

Answer 8

y=2-x

Answer 9

or y=-x +2

Answer 10

3y = -x + 6
-- -- ---
3 3 3

\[y = \frac{ -1{x} }{ 3 } + 2\]

\[y = \frac{ -x }{ 3 } + 2\]

Answer 11

why do you divide the middle one by 3 too?

Answer 12

you were almost right :) but you forgot to divide the -x by 3

Answer 13

because whatever you do to one side, you have to do to the other side.

so basically, you can add, subtract, multiply, divide, but if you do it to one side you have to do it to the other side; hence both sides :)

Answer 14

idk about that i already did that to the 6 on that side so i should be good

Answer 15

3y = -x + 6

you divide by 3 on the left side to get the "y" by itself.

3y = -x + 6
-- --- ---
3 3 3

so you have to do it to the other side also.

Answer 16

ok what now

Answer 17

@some_someone

Answer 18

i wanna try to solve ur problem

Answer 19

given\[x+3y=6\]

Answer 20

\[3y=6-x\]

Answer 21

\[y=2-\frac{ 1 }{ 3 }x\]

Answer 22

\[y=-\frac{ 1 }{ 3 }x+2\]

Answer 23

now u hv to compare this equation with the standard eqution\[y=mx+c\]

Answer 24

so\[m=-\frac{ 1 }{ 3 }\]

Answer 25

\[m= slope\]

Answer 26

did u get it

Answer 27

yes thanks