To find the coordinates of point \( A' \) after the translation of point \( A(6, 10) \) left \( 1 \) unit and up \( 5 \) units, you can follow these steps:
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Translate Left: Moving left decreases the x-coordinate. For \( A(6, 10) \), moving left \( 1 \) unit: \[ x' = 6 - 1 = 5 \]
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Translate Up: Moving up increases the y-coordinate. For the y-coordinate of \( A(6, 10) \), moving up \( 5 \) units: \[ y' = 10 + 5 = 15 \]
Combining both results, the new coordinates \( A' \) after the translation will be: \[ A'(5, 15) \]
So, the coordinate points for \( A' \) are \( (5, 15) \).