How do i find slope intercept form?

- MysticFury

How do i find slope intercept form?

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- MysticFury

@pooja195

- pooja195

y=mx+b <---slope intercept form

- MysticFury

how would i find it from this equation , 8x + 6y = 12

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## More answers

- pooja195

Ok bascially all you need to start with is subtracting 8x from both sides when you do this what do you get?

- MysticFury

6y = 4?

- pooja195

No 8x remains
\[\huge~\rm~ 6y=8x+12 \]
Any ideas on what's next? :)

- MysticFury

not really

- MysticFury

sorry i dont get this stuff at all

- pooja195

Think....we want to isolate y what step would be needed to get y by itself?

- MysticFury

umm subtract it by something? i really am not sure

- pooja195

We would divide
\[\huge~\rm~ \frac{ 6y=8x+12 }{ 6~~~~~~6~~~~~6 }\]

- MysticFury

ok so by divind we would have
y = 1.3x + 2 ?

- MysticFury

so y = 4/3x + 2 ?

- pooja195

We would leave the slope as a fraction :-)
y=8/6x+2
Well done
also
I kinda did this part for you
But when i mentioned subtract 8x from both sides it would've looked like this
\[\huge~\rm~\bf~6y=12-8x\]
I kinda put in the slope intercept form for you :P
But yeah good job ^_^

- MysticFury

so you just kinda rearange the numbers around to put them in slope intercept form? how do you know which number goes there? im kinda confused on the - 8 from both sides thing

- pooja195

Ok let's work on that :)
\[\huge~\rm~\bf~8x + 6y = 12 \]
We subtract 8x to that we can isolate y
\[\huge~\rm~\bf~8x-8x + 6y = 12-8x \]
\[\huge~\rm~\bf~6y = 12-8x \]
We know that slope intercept form is y=mx+b
so we can easily arrange the numbers and actually there was an error in the arranging my fault.
6y=-8x+12
Do you understand ?
the would also change our answer :P
y=-8/6x+2

- MysticFury

i get it now , thank you so much! do you have time for one more question?

- pooja195

Yes i do and yw ^_^

- MysticFury

Which of the lines graphed in the diagram represents the equation
6x + 4y = 8?
https://static.k12.com/calms_media/media/213000_213500/213152/1/dc8357ac3154c82d1c9c0b6caaa6fce0b919ca92/VHS_ALG_S1_07_L207_L307_LQ5.gif

- pooja195

Start by putting it into slope intercept form it'll be alot more easier to graph

- MysticFury

ok hold on

- MysticFury

so the slope intercept form of it is y = -3/2 + 2 ? am i right?

- MysticFury

whoops y = -3/2x + 2

- pooja195

Don't simplfy the slope

- MysticFury

y = -6/4x + 2 ?

- MysticFury

i got . y = -1.5x + 2

- MysticFury

so how do i find what line on the graph that would be?

- pooja195

Ok let's work on it together :/
6x + 4y = 8
Fist step is to subtract 6x from both sides
4y=8-6x
now we need it in slope intercept form so re-arrange the numbers
4y=-6x+8
now divide everything by 4
what equation do we have?

- MysticFury

y = -1.5x + 2

- pooja195

Leave the slope as a fraction...try again

- MysticFury

y = -6/4x + 2 ?

- pooja195

Good :)
Now to graph it slope=rise over run

- pooja195

In the case the slope is -6
so we go down 6 and over 4

- MysticFury

so it would be line d?

- pooja195

Well done :)

- MysticFury

alright thank you so much!!!! i would never have gotten this done without your help!

- pooja195

haha yw ^_^

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