|x| + |y| =4 graph

Sure, I can help with that. Here are the steps to graph the equation |x| + |y| = 4:

1. Understand the equation: The equation |x| + |y| = 4 is an equation of a diamond (or rhombus) in the xy-plane. The vertices of the diamond are at the points (4,0), (-4,0), (0,4), and (0,-4).

2. Draw the axes: Draw the x and y axes on a piece of graph paper or on a graphing software. Label the x-axis and the y-axis.

3. Plot the vertices: Plot the points (4,0), (-4,0), (0,4), and (0,-4) on the graph.

4. Connect the vertices: Draw lines to connect the vertices in the order listed above. You should end up with a diamond shape.

5. Label the graph: Write the equation |x| + |y| = 4 next to the graph to indicate what the graph represents.

And that's it! You have successfully graphed the equation |x| + |y| = 4.