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So (7-4)/(-3-(-8)?

oops i put my x's on top.
(y1-y2)/(x1-x2)

Ok so (-3-(-8)/(7-4)?

yes
(-3-(-8))/(7-4)
Do the subtraction on top and then do the subtraction on bottom.

So 5/3

So -3*3=5(7)/3*3+b = 9=35+b?

-9=35+3b

Ok. So next I need to get 3b on the left side right?

Okay so -9 - 35 = 35 - 35 +3b?

yep yep

Okay so -44 = 3b?

yep

And then -44/3 = 3b/3 which equals -14 2/3 =3b?

We should be able to rearrange this into the form you want Ax+By=C

So 5x/3+y=-44/3?

Did you subtract 5x/3 on both sides? Looks like you subtracted on one side but not the other.

So -5x/3+y=-44/3?

Yes.
Now get rid of fractional part by multiplying both sides by 3 and you are done.

So -5x + y = -44?

You need to also multiply that one term by 3.

3(-5x/3+y=-44/3)
3(-5x/3+y)=3(-44/3)
3(-5x/3)+3(y)=3(-44/3)
-5x + 3y = -44

Ohh! Alright! Thank you!

You did good. Good job Dani.