I switched the signs in y=7-x for the right hand graph as it isn't going in the -x direction but then i get a -7 and i can't get negative ys because it's modulus. It gives me an answer of (0,-7) and it's supposed to be (0,7). I need a reason to switch the sign for 7 again.
+118608 that is better.
y=|7-x|
when x=0
y=|7-0|=|7|=7
(0,7)
i am a little confused as to what you are having trouble with, 
Perhaps this is what you want?
-------------------
If 7-x> 0 then y=7-x
this rearranges to If x<7 then y=-x+7
----------------------
If 7-x<0 then y=-7+x
this rearranges to
If x>7 then y=x-7
------------------------
does that help?
+118608 I cannot see the picture and I have no idea what you are talking about. LOL
+128408 So I guess you want to graph y = l 7 - x l ???
"y" will never be negative in this graph.
You have the first part correct. When x = 0, y will = l 7 l = 7
So we have the points (7, 0) and (0, 7)
Connect these two points. Now, pick a value for x > 7, say 9. Then l 9 - 7 l = 2. So the point (9, 2) will be on the graph. Draw a line connecting this point and (7, 0). There's your graph.
The easiest thing to see is that this is the graph of y = lxl shifted to the "right" by 7 units ....!!!! y = lx + 7l would shift the basic graph to the "left" by 7 units ....
Does that help??
Yes! Thank you so much, that makes perfect sense. Couldn't have been explained better by my maths teacher! 
+118608 that is better.
y=|7-x|
when x=0
y=|7-0|=|7|=7
(0,7)
i am a little confused as to what you are having trouble with,
Perhaps this is what you want?
-------------------
If 7-x> 0 then y=7-x
this rearranges to If x<7 then y=-x+7
----------------------
If 7-x<0 then y=-7+x
this rearranges to
If x>7 then y=x-7
------------------------
does that help?
