Question

given the following translation rule, write the ordered pair of k
rule (x,y) -> (x + 19, y)
k(-6, 12) -> ______

Explanation:

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

Given the translation rule \((x,y)\to(x + 19,y)\) and the point \(K(-6,12)\). For the x - coordinate, we use the formula \(x'=x + 19\). Substitute \(x=-6\) into the formula: \(x'=-6+19\).

$$x'=-6 + 19=13$$

Step2: Determine the y - coordinate of \(K'\)

For the y - coordinate, according to the rule \((x,y)\to(x + 19,y)\), when \(y = 12\), the y - coordinate of the translated point remains the same. So \(y'=12\).

Answer:

\((13,12)\)