Question

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

Explanation:

Step1: Find new x - coordinate

The translation rule for the x - coordinate is \(x
ightarrow x - 5\). Given the original point \(P(6,-1)\), the x - coordinate of \(P'\) is \(6-5 = 1\).

Step2: Find new y - coordinate

The translation rule for the y - coordinate is \(y
ightarrow y - 2\). Given the original point \(P(6,-1)\), the y - coordinate of \(P'\) is \(-1-2=-3\).

Answer:

\(P'(1, - 3)\) (which corresponds to the option \(P'(1,-3)\))