Question

finding coordinates
the point ( p(6,-1) ) is translated according to the rule ( (x,y)\to(x - 5,y - 2) ).
what are the coordinates of ( p )?
( p(1,1) )
( p(1,2) )
( p(1,-3) )
( p(4,4) )

Explanation:

Step1: Apply the translation rule to the x - coordinate

The translation rule for the x - coordinate is \(x\to x - 5\). Given the original x - coordinate \(x = 6\), we substitute it into the formula: \(6-5=1\).

Step2: Apply the translation rule to the y - coordinate

The translation rule for the y - coordinate is \(y\to y - 2\). Given the original y - coordinate \(y=-1\), we substitute it into the formula: \(-1 - 2=-3\).

Answer:

\(P'(1,-3)\)