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Translate triangle PQR 4 units right and 7 units down. Label the image P'Q'R'. How are
the values in the ordered pairs affected by the translation? Write the algebraic rule for the
translation.

The x-values in the ordered pairs of triangle P'Q'R' are 4 more than the x-values in
the ordered pairs of triangle PQR. The y-values in the ordered pairs of triangle P'Q'R'
are 7 less than the y-values in the ordered pairs of triangle PQR.
Rule: (x, y) → (x + 4, y-7)

Why the rule is correct?