aspenfields
how do i find the slope and y-intercept of the graph 3x – 2y + 8 = 0.
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rizwan_uet
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separate y on LHS you will get what you want
cozyfire
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to get the y intercept substitute the values of x with 0
cozyfire
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to get the slope y=mx+c so you need to transform the equation
cozyfire
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m is the slope
cozyfire
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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
aspenfields
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ok so once i get the y intercept why do i divide it by 2?
amistre64
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you can go about moving everything around; or, you can just determine the slope and y intercept in 3 moves.
1: y int is the value of y when x=0
2: the slope is the change in y when x changes by 1; so find the value of y when x=1
3: subtract the value when x=0 from the value when x=1 and you have your slope
rizwan_uet
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as i told you just separate y on LHS you will get
y = 3/2x+4
now compare it with y=mx+b to get slope and y-intercept
here b= y-intercept and m = slope
do it now
aspenfields
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what does LHS mean?
rizwan_uet
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left hand side
aspenfields
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oh ok
rizwan_uet
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now what you got??
aspenfields
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im not sure. and where the 8 go?
rizwan_uet
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3x – 2y + 8 = 0.
subtract 8 from both sides what you get???
aspenfields
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3x-2y=-8?
rizwan_uet
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exactly
rizwan_uet
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now subtract 3x from both sides what you get??
aspenfields
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why substract i thought you you add it? but 2y=-8-3x?
rizwan_uet
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because 3x on left side has positive sign to cancel it out you have to subtract 3x on both sides
rizwan_uet
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-2y=-8-3x
now divide both sides by -2
aspenfields
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y=4-3/2x
rizwan_uet
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no its
y = 4+3/2x
aspenfields
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oh ok is that the asnwer or is there more to it?
rizwan_uet
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no you have to do one step now
you have a general equation for line in slope intercept form that is
y = mx+b
here m = slope and b = y intercept
can you find the slope and y-intercept now from y = 4+3/2x
rizwan_uet
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just compare
aspenfields
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ok
rizwan_uet
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now m =??
b= ???
aspenfields
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m=3/2, b=4
rizwan_uet
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exactly
rizwan_uet
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these are respective values for slope and y-intercept
aspenfields
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ok and that's it?
rizwan_uet
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yes
aspenfields
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thank you now i understand it
rizwan_uet
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you are welcome