Question

pq is a translation of \\(\overline{pq}\\). write the translation rule.
\\( (x, y) \to \left( x + \square, y + \square \
ight) \\)

Explanation:

Step1: Find coordinates of P and P'

From the graph, \( P(-9, -2) \) and \( P'(-2, 5) \).

Step2: Calculate horizontal change

Horizontal change: \( -2 - (-9) = 7 \), so \( x \)-translation is \( +7 \).

Step3: Calculate vertical change

Vertical change: \( 5 - (-2) = 7 \), so \( y \)-translation is \( +7 \).

Answer:

\((x, y) \to (x + 7, y + 7)\)