Creating a Toblerone: Algebra and Functions Warm Up Question

WARM UP

In the diagram below: Move the LARGE POINT and drag the slider you see in order to move and change the appearance of the absolute value graph. Can you move this graph so that this graph coincides (lies directly on top of) the slanted blue edges that each measure 3.5 units?

QUESTION:

Write an equation containing z & x that expresses the relationship between these 2 variables so that the thick absolute value graph coincides (lies directly on top of) the slanted edges that each measure 3.5 units.