Question

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

Explanation:

Step1: Find new x - coordinate

Given the point \( P(6, - 1) \) and the translation rule \( (x,y)\to(x - 5,y - 2) \). For the x - coordinate, we substitute \( x = 6 \) into \( x-5 \). So, \( 6-5=1 \).

Step2: Find new y - coordinate

For the y - coordinate, we substitute \( y=-1 \) into \( y - 2 \). So, \( - 1-2=-3 \).

Answer:

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