Question

segment pl has endpoints p(4, -6) and l(-2, 1). the segment is translated using the mapping (x, y) → (x + 5, y). what are the coordinates of p and l? options: p(9, -6), l(-2, 1); p(4, -6), l(3, 1); p(9, -6), l(3, 1); p(9, -1), l(3, 6)

Explanation:

Step1: Translate point P

Given \( P(4, -6) \) and mapping \( (x, y) \to (x + 5, y) \), substitute \( x = 4 \), \( y = -6 \).
\( x' = 4 + 5 = 9 \), \( y' = -6 \), so \( P'(9, -6) \).

Step2: Translate point L

Given \( L(-2, 1) \) and mapping \( (x, y) \to (x + 5, y) \), substitute \( x = -2 \), \( y = 1 \).
\( x' = -2 + 5 = 3 \), \( y' = 1 \), so \( L'(3, 1) \).

Answer:

P'(9, -6), L'(3, 1) (the third option: P'(9, -6), L'(3, 1))