SOLUTION: How can you graph absolute value equations? |x|+|y|=2

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Question 714246: How can you graph absolute value equations? |x|+|y|=2
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
|x| + |y| = 2

We find the x-intercepts by setting y=0

|x| + |0| = 2
      |x| = 2
        x = ±2

So the x-intercepts are (2,0) and (-2,0)

We find the y-intercepts by setting x=0

|0| + |y| = 2
      |y| = 2
        y = ±2

So the y-intercepts are (0,2) and (0,-2) 

We plot those:



We find some more points.

Let x=1 and solve for y

|1| + |y| = 2
  1 + |y| = 2
      |y| = 1
        y = ±1  so we have the points (1,1) and (1,-1)

Let x=-1 and solve for y

|-1| + |y| = 2
   1 + |y| = 2
       |y| = 1
         y = ±1  so we have the points (-1,1) and (-1,-1)

We plot those four points:



And we sketch in the graph:



Edwin

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
|x| + |y| = 2

We find the x-intercepts by setting y=0

|x| + |0| = 2
      |x| = 2
        x = ±2

So the x-intercepts are (2,0) and (-2,0)

We find the y-intercepts by setting x=0

|0| + |y| = 2
      |y| = 2
        y = ±2

So the y-intercepts are (0,2) and (0,-2) 

We plot those:



We find some more points.

Let x=1 and solve for y

|1| + |y| = 2
  1 + |y| = 2
      |y| = 1
        y = ±1  so we have the points (1,1) and (1,-1)

Let x=-1 and solve for y

|-1| + |y| = 2
   1 + |y| = 2
       |y| = 1
         y = ±1  so we have the points (-1,1) and (-1,-1)

We plot those four points:



And we sketch in the graph:



Edwin