Question 562497
x=16-4y
3x+4y=8

Pretty simple.

x=16-4y is already in mx+b form. You'll need to get the other in mx+b form.

 3x+4y=8
-3x   -3x     ; Minus 3x by both sides, it then becomes -3x but on the other side:
----------
 4y=-3x+8
 -  -----
 4    4       ; Divide 4 by both sides so y is by itself, divide 4 by mx+b
----------
 y=-¾x+2      ; Since -3 doesn't go into 4 evenly, then it becomes a fraction.

Slope CAN be a fraction.
Now for the other.

 x=16-4y
+4y  +4y      ; Add 4y by both sides, because 4y was a negative before.
----------
 4y+x=16
  +-1x +-1x   ; Add negative 1x by both sides
----------
4y=-1x+16
-   -----    ; Divide 4 by both sides, divide mx+b by 4
4     4
----------
y=-1/4x+4   ; The x becomes 1 over 4 or 1/4, so the slope is 1/4x

Now you have both of them in mx+b form!
y=-1/4x+4
y=-¾x+2

If you are graphing, you can graph like this:
For: y=-1/4x+4
Put a dot at 4 on the y-axis because the spot that 4 is in is the y-intercept.
The slope is 1/4, and slope is
1 (Rise)
-
4 (Run)
Meaning you go up 1 and over 4, so start at 4 and go up 1 over 4 until you run out of graph to work on, then draw a line on the points.
Same for y=-¾x+2
3 (Rise)
-
4 (Run)
So you go up 3, over 4. Until you run out of graph. Then draw a line.
Hope this helped, sorry for making it so long!

-MathHelper