Question

graph the equation by plotting three points -3y=x-6

Answer 1

same way as the one at http://openstudy.com/study#/updates/51fd8387e4b0cc46c14aa80c

Answer 2

I don't what three points to use for x

Answer 3

can you divide both sides by -3 (to get y by itself) ?

Answer 4

i have to find three points for x

Answer 5

yes, and to make it easier to do, we want to simplify your equation
we want y = mx + b
you have
-3y = x-6

to get y by itself, divide both sides and all terms by -3
can you do that ?

Answer 6

1y=x+2

Answer 7

almost.

-3y / -3 = x/-3 + -6/-3
you get
\[ 1y= \frac{1}{-3} x + 2\]
or just
\[ y= \frac{1}{-3} x + 2\]

Answer 8

now if x = 0 , what is y ? use the equation

Answer 9

0,2

Answer 10

so that is your first point

the slope is 1/-3
or -1/3 (both work)

the slope is change in y divided by change in x

if you change x by +3 , y changes by -1
can you find the next point ?

Answer 11

3,1

Answer 12

yes. now the next point ?

Answer 13

6,0

Answer 14

yes.

notice that if you use a slope of 1/-3
the change in y divided by change in x
change in y is +1 and the change in x is -3
so if you started at (0,2)
and added -3 on the x, you would add +1 to the y.
you get
(-3,3)
as a point on the line

Answer 15

yes its so much easier that way

Answer 16

thank you