Answer:
11 up , 11 left
Step-by-step explanation:
Given
[tex](17, -9)[/tex] to [tex](6,2)[/tex]
Required
Determine the translation rule
Considering the x coordinates.
From 17 to 6
6 is to the left of 17.
Using the translation rule:
[tex]x = x' + b[/tex]
[tex]17 = 6 + b[/tex]
[tex]17 - 6 = b[/tex]
[tex]11 = b[/tex]
[tex]b = 11[/tex]
Hence: From 17 to 6 is 11 units left translation
Considering the y coordinates.
From -9 to 2
2 is at the top -9.
Using the translation rule:
[tex]y = y' + b[/tex]
[tex]-9 = 2 + b[/tex]
[tex]-9 - 2 = b[/tex]
[tex]-11= b[/tex]
[tex]b = -11[/tex]
The negative value impies a upward translation.
Hence: From -9 to 2 is 11 units up translation