Which number line represtents the solution to |x+4|=2?

Points -2 and -6 on the number line are the two solutions.

Step-by-step explanation:

Use the definition of absolute value as a starting point

To solve the equation, you need to treat the two cases as above:

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.