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separate y on LHS you will get what you want

to get the y intercept substitute the values of x with 0

to get the slope y=mx+c so you need to transform the equation

m is the slope

3x-2y+8=0
2y=3x+8
divide the whole equation to 2 u will get y=3/2(x)+4 so the slope is 3/2

ok so once i get the y intercept why do i divide it by 2?

what does LHS mean?

left hand side

oh ok

now what you got??

im not sure. and where the 8 go?

3x – 2y + 8 = 0.
subtract 8 from both sides what you get???

3x-2y=-8?

exactly

now subtract 3x from both sides what you get??

why substract i thought you you add it? but 2y=-8-3x?

because 3x on left side has positive sign to cancel it out you have to subtract 3x on both sides

-2y=-8-3x
now divide both sides by -2

y=4-3/2x

no its
y = 4+3/2x

oh ok is that the asnwer or is there more to it?

just compare

ok

now m =??
b= ???

m=3/2, b=4

exactly

these are respective values for slope and y-intercept

ok and that's it?

yes

thank you now i understand it

you are welcome