Question

find the slope of the line described by x-3y=-6

Answer 1

rewrite that equation into `slope-intercept` form
\[\huge\rm y=mx+b\]
^^slope intercept form where m is slope b is y-intercept
can you solve that equation for y ?

Answer 2

3y=x+6

Answer 3

ahh nice!
3 is still at left side :=)

Answer 4

x+6=3y

Answer 5

hmm same thing
how would you cancel out the 3 from right side ?

Answer 6

subtract x

Answer 7

from both sides

Answer 8

notice you have 3 times y
to "undo" the times, think "divide"

Answer 9

3y divided by 6

Answer 10

you already moved x to the right side \[\huge\rm 3y=x+6\]
it's `3 times y` opposite of multiplication is division so divide by 3

Answer 11

so 3 divided by 6 is 2

Answer 12

we have to solve for y so just divide both sides by 3

Answer 13

\[\huge\rm \frac{ 3y }{ 3 } =\frac{ x+6}{ 3}\]

Answer 14

x divided by 3 is 0

Answer 15

(x+6)/3 is same as \[\frac{ 1 }{ 3 }x +\frac{ 6 }{ 3 }\]

Answer 16

x divide by 3 is zero ? how ?

Answer 17

there is invisible one \[\huge\rm \frac{ 3y }{ 3 } =\frac{ 1x+6}{ 3}\]

Answer 18

so you are saying 1/3x = 0 nope.

Answer 19

i thought x was 0 thats why

Answer 20

i forgot that x equals one

Answer 21

so the slope is 1/3

Answer 22

no x is just a variable
remember we need the equation in slope intercept form \[\huge\rm y=mx+b\]

Answer 23

yes right
so what's the y-intercept ?