What are the coordinate points of E' if E (-9, 8) is translated left 13 units, then up 21 units?

Answer 1

To find the new coordinates \( E' \) after translating point \( E (-9, 8) \) left 13 units and then up 21 units, we can break the translation down into two steps:

1. Translate left 13 units:
   To move left, we subtract from the x-coordinate.
   New x-coordinate:
   \[ -9 - 13 = -22 \]
   The y-coordinate remains the same:
   \( 8 \).

   Now the coordinates after the first translation are \( (-22, 8) \).

2. Translate up 21 units:
   To move up, we add to the y-coordinate.
   New y-coordinate:
   \[ 8 + 21 = 29 \]
   The x-coordinate remains the same:
   \( -22 \).

   Now the final coordinates after both translations are \( (-22, 29) \).

Thus, the coordinate points of \( E' \) are \( \boxed{(-22, 29)} \).