Question

given the following translation rule, write the ordered pair of r
rule (x,y) -> (x, y - 9)
r(3, -8) ---> ____________

Explanation:

Step1: Identify the x - coordinate

The translation rule \((x,y)\to(x,y - 9)\) keeps the \(x\) - value the same. For the point \(R(3,-8)\), the \(x\) - coordinate of \(R'\) is \(x = 3\).

Step2: Calculate the y - coordinate

Use the \(y\) - part of the translation rule. Substitute \(y=-8\) into \(y-9\). So, \(y-9=-8 - 9\).

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Answer:

\((3,-17)\)