Question

Type the second equation from the group you selected and change the equation into slope-intercept form. Be sure to show all of your work. Identify the slope and y-intercept of the equation.

Answer 1

so we have to calculate that all for the second equation:
\[\LARGE{-3x+2y=8}\]

Answer 2

Yes :)

Answer 3

also can you teach me how to get the answer

Answer 4

ok : first of all we will find the y-intercept of that equation ok?

Answer 5

okay

Answer 6

so suppose if we are told to find the y intercept of equation x = 2y ,
then in this case the first step should be , put x = 0

Answer 7

what r u getting for y ?

Answer 8

0 = 2y
can u solve for y ?

Answer 9

yes wouldnt 2 = y

Answer 10

no .. no ..

see whenever you are told that a = bc and solve for c , then

divide both sides by b :
\[\large{\frac{a}{b}=\frac{bc}{b}}\]
\[\large{\frac{a}{b}=\frac{\cancel{b}^1c}{\cancel{b}^1}}\]
hence : \[\large{\frac{a}{b}=c}\]

Answer 11

can you tell me now if 0 = 2y then y = ?

Answer 12

y = 1 ? i think

Answer 13

no .. :
\[\large{0=2y}\]
\[\large{\frac{0}{2}=\frac{2y}{2}}\]
\[\large{\frac{0}{2}=\frac{\cancel{2}^1y}{\cancel{2}^1}}\]
\[\large{\frac{0}{2}=y}\]

Answer 14

can u tell me what is 0/2 ?

Answer 15

0

Answer 16

good so y = 0 , right?

Answer 17

yes :D

Answer 18

hence y intercept = 0

Answer 19

got it?

Answer 20

okay was that the y intercept for the probelm were doing now or was that a example??

Answer 21

oh yes .. so can u find that y intercept for the equation given :
-3x+2y=8

Answer 22

put x = 0 and find y ..

Answer 23

tell me what r u getting?

Answer 24

okay so the first step we would do is multoply -3 * 0?

Answer 25

yes..

Answer 26

and -3 * 0 =?

Answer 27

0 of course lol

Answer 28

now we have 2y = 8 ?

Answer 29

yes ..

Answer 30

divide both sides by 2 ,, what r u getting for y?

Answer 31

y = 4

Answer 32

good .. hence this is the y intercept of the equation , -3x+2y=8

Answer 33

got this part?

Answer 34

yes :D

Answer 35

.. ok now shall i come to the topic : slope ?

Answer 36

yes

Answer 37

do you know how to differentiate?

Answer 38

no

Answer 39

i know that slope intercept form is y = mx + B

Answer 40

ok .. so leave differentiation :

do you know ... :

slope = \(\large{\frac{y_2 -y_1}{x_2-x_1}}\)

Answer 41

yes :D

Answer 42

ok .. given :

-3x+2y = 8

1) put x = 0
then y = 4

2) put x =2
then y = ?

Answer 43

What do i put for question mark?

Answer 44

-3x + 2y = 8

put x = 2

-3(2) +2y = 8

then y =?

Answer 45

can u solve for y ?

Answer 46

i think

Answer 47

ok ... so what is y?

Answer 48

i cant get it

Answer 49

-3(2) + 2y = 8

-6 + 2y= 8
2y = 8+6

2y = 14

y = 14/2 = 7

Answer 50

y = 7

Answer 51

im smart haha

Answer 52

yes .. so we get

1) when x = 0 then y = 4
2) when x = 2 then y = 7

Answer 53

can u draw the graph for this ?