Question

given the following translation rule, write the ordered pair of d
rule (x,y) -> (x + 1, y + 5)
d(2, -7) --> ____________

Explanation:

Step1: Calculate the x - coordinate of \(D'\)

Given the translation rule \((x,y)\to(x + 1,y+5)\) and \(x = 2\) for point \(D\).
For the \(x\) - coordinate of \(D'\), we use the formula \(x'=x + 1\). Substitute \(x = 2\) into it: \(x'=2+1=3\).

Step2: Calculate the y - coordinate of \(D'\)

Given \(y=-7\) for point \(D\).
For the \(y\) - coordinate of \(D'\), we use the formula \(y'=y + 5\). Substitute \(y=-7\) into it: \(y'=-7 + 5=-2\).

Answer:

\((3,-2)\)