where will the plots on a number line be for this absolute value equation (without solving the equation)

|x-2| = 4

The absolute value equation |x-2| = 4 can be rewritten as two separate equations:

1) x-2 = 4
2) x-2 = -4

Simplifying each equation, we have:
1) x = 6
2) x = -2

Thus, the plots on a number line for this absolute value equation are x = 6 and x = -2.