Question

Write an equation in​ slope-intercept form of the line that satisfies the given conditions.
Through ​(-6−6​); parallel to -x+6y=36

Answer 1

first lets convert this equation to slope intercept form. do you know where to start?

Answer 2

Ok
y=mx+b
m=slope
b=y intercept

Answer 3

y=mx+b
y=m(-6)-6

Answer 4

@TheSmartOne

Answer 5

Wait lets do this a different way.

Answer 6

Can you isolate y?
-x+6y=36

Answer 7

do you know how?

Answer 8

do i put the (-6,-6) into the equation -x+6y=36

Answer 9

No ignore that

Answer 10

-1(-6)+6(-6)=36

Answer 11

Nope
We need to make an equation
-x+6y=36
We start by adding x to both sides (since we want to isolate x)
-x+x+6y=36+x
This leaves us with
6y=36+x
we need to divide all of this by 6 so we isolate y
6y/6=36/6+x
what do we have left?

Answer 12

y=6+x

Answer 13

x/6 would just be 1/6 since x is just 1x
y=6+1/6x
can you put that in slope intercept form?
y=mx+b
m=slope
b=y intecet

Answer 14

y=1/6x+6

Answer 15

is that right @pooja195

Answer 16

Yes but we are not done yet any ideas on what the next step is? :)

Answer 17

no idea

Answer 18

so the lines are parallel

means same slope

we just steal the slope form y = 1/6x + 6

and we get

y = 1/6x + b

now we plug in (-6,-6) and solve for b

and whatever you get for b you plug into y = 1/6x + b and you're done

Answer 19

steal the slope from*

Answer 20

Do you understand? @kirstenc73093

Answer 21

y=-7

Answer 22

Dont over think this!
y = 1/6x + b

B=y intercept
in the given coordinates
(-6,-6)
Which is the y value?

Answer 23

-6 is the y

Answer 24

good so plug that into the equation

Answer 25

don't forget to plug in the x-value too!

Answer 26

y=1/6(-6)+-6

Answer 27

no, like this:

-6 = 1/6 (-6) + b

solve for b :)

Answer 28

\(\sf\Large -6 = \frac{1}{6} (-6) + b\)

Answer 29

b=-5

Answer 30

Good now make that into slope intercept from
m=1/6
y intercept= -5

Answer 31

-5=1/6+5

Answer 32

o.O
slope intercept form
y=mx+b
m=slope
b=y intercept

Answer 33

y=1/6x-5

Answer 34

Good job! :)

Answer 35

is that the end?

Answer 36

yes

Answer 37

yay! Great job @pooja195 and @kirstenc73093 :D

Answer 38

thanks @TheSmartOne and @pooja195

Answer 39

Don't forget to rate the QH! :D

Answer 40

oh don't worry I did! :)

Answer 41

thanks! :)

Answer 42

:)