Question

how do i find the slope and y-intercept of the graph 3x – 2y + 8 = 0.

Answer 1

separate y on LHS you will get what you want

Answer 2

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

Answer 3

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

Answer 4

m is the slope

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

what does LHS mean?

Answer 10

left hand side

Answer 11

oh ok

Answer 12

now what you got??

Answer 13

im not sure. and where the 8 go?

Answer 14

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

Answer 15

3x-2y=-8?

Answer 16

exactly

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

y=4-3/2x

Answer 22

no its
y = 4+3/2x

Answer 23

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

Answer 24

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

Answer 25

just compare

Answer 26

ok

Answer 27

now m =??
b= ???

Answer 28

m=3/2, b=4

Answer 29

exactly

Answer 30

these are respective values for slope and y-intercept

Answer 31

ok and that's it?

Answer 32

yes

Answer 33

thank you now i understand it

Answer 34

you are welcome