SOLUTION: Graph the line 3y - 9x = 18

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Question 754292: Graph the line 3y - 9x = 18
Found 3 solutions by jim_thompson5910, rfer, mgmoeab:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3y - 9x = 18 is the same as -9x + 3y = 18



x-intercept


To find the x-intercept, plug in y=0 and solve for x


-9x%2B3y=18 Start with the given equation.


-9x%2B3%280%29=18 Plug in y=0.


-9x%2B0=18 Multiply 3 and 0 to get 0.


-9x=18 Simplify.


x=%2818%29%2F%28-9%29 Divide both sides by -9 to isolate x.


x=-2 Reduce.


So the x-intercept is .


------------------------------------------


y-intercept


To find the y-intercept, plug in x=0 and solve for y


-9x%2B3y=18 Start with the given equation.


-9%280%29%2B3y=18 Plug in x=0.


-0%2B3y=18 Multiply -9 and 0 to get 0.


3y=18 Simplify.


y=%2818%29%2F%283%29 Divide both sides by 3 to isolate y.


y=6 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph -9x%2B3y=18.


Graph of -9x%2B3y=18

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
3y=9x+18
y=3x+6
Now it is in y intercept form y=mx+b
y int = (0,6) (first point)
Slope m=3
So from (0,6) one right, three up
(1,9) second point
From (1,9) one right, three up
(2,12) third point

Answer by mgmoeab(37) About Me  (Show Source):
You can put this solution on YOUR website!
3y - 9x = 18
Solve for y:
1. 3y= 9x + 18
2. y= 3x + 6 (This is the equation you will graph)
To graph:
option A.
Make a table for y = 3x +6.
If x =0, y=6
If x =1, y=9
If x =-1, y=3
You could get as many points as you like, however you need at least TWO, to be able to draw the line.
Option B.
For y = 3x +6.
Make x =0, to get your y intercept. In this case, for x=0, y= 6.
Then look at your slope, this is the coefficient of x. In this case 3 (POSITIVE). This can be written as 3/1.
To graph you proceed as follows.
Locate your first point (0,6) then, from 6 on your y axis, the slope on fraction form, tells you to go up 3 and right 1. (since its positive).. You coul also go down 3 and left 1, obtaining the same line once you connect both points.

If you're not sure, or have any other question email me at: mgmoeab@hotmail.com I could send you an image so you can see it better. I dont know why the graph option is not working for me.



graph%28300%2C200%2C+-6%2C5%2C10%2C10%2C+3x%2B6%29