Answer:
If the two triangles are equivalent, then all the measures of triangle 2 are k times the measures of triangle 1.
This means that:
BC = k*XY
here we know that:
BC = 8
XY = 20
then:
8 = k*20
8/20 = k
0.4 = k
Then we also will have the relation:
BD = 0.4*XZ
and we know that:
BD = 6
then:
6 = 0.4*XZ
6/0.4 = XZ
15 = XZ
Answering the question, the relationship between the corresponding angle bisectors is:
BD/XZ = 6/15 = 0.4
Technically speaking, because the way you have the question written, in words the equation would be said as y equals one-thirds multiplied by the absolute value of x, then minus two. Properly saying as y equals two less that the product of one-third and the absolute value of x.
The absolute value is the distance away from 0 therefor the value would alway equal as a positive value. EX1: |21| = 21 EX2: |-21| = 21
even if you considered -2 within y=1/3|x|-2 as -2 being negative two instead of minus two, then it would be the same meaning in the case that you have written out in a mathematical equation format, but really because -2 comes after 1/3|x| and -2 is not in parenthesis then it would make more since to say minus two.