SOLUTION: I need to graph the y=-2x-2 and 3y=-x-6 Please help I know in the last one I need to get the 3 away from the y. So does it look like this y=1/3x+2? Please help

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: I need to graph the y=-2x-2 and 3y=-x-6 Please help I know in the last one I need to get the 3 away from the y. So does it look like this y=1/3x+2? Please help       Log On

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Question 53304: I need to graph the y=-2x-2 and 3y=-x-6 Please help I know in the last one I need to get the 3 away from the y. So does it look like this y=1/3x+2?
Please help
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
For the first one:
y=-2x-2
This is already in slope intercept form:y=mx+b
(0,b) is the y intercept
m=slope=rise/run
In your case b=(0,-2) and m=-2/1
Plot (0,-2) from there go down 2 (-2) and right 1 and plot a second point (it should be at (1,-4))
Connect the dots and you get:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x-2%29
You're almost there:
3y=-x-6
3y%2F3=-x%2F3-6%2F3
y=%28-1%2F3%29x-2
The slope m is -1/3
The y-intercept is (0,-2)
Plot (0,-2) go down (-1) and right (3) and plot another point at (3,-3) connect the dots and get:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-1%2F3%29x-2%29
If you need to see the two lines together so that you can find their point of intersection:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2x-2%2C%28-1%2F3%29x-2%29
They intercect at the y intersept because they both have a y-intercept of (0,-2)