The point D(6,3) is translated 4 units left and 9 units down. What are the coordinates of the resulting point, D'?
Question
The point D(6,3) is translated 4 units left and 9 units down. What are the coordinates of the resulting point, D'?
Solution
To find the coordinates of the point D' after the translation, we need to subtract the units of translation from the coordinates of the original point D.
Step 1: Subtract the horizontal translation from the x-coordinate of D. The x-coordinate of D is 6. The point is translated 4 units to the left, so we subtract 4 from 6. This gives us 6 - 4 = 2.
Step 2: Subtract the vertical translation from the y-coordinate of D. The y-coordinate of D is 3. The point is translated 9 units down, so we subtract 9 from 3. This gives us 3 - 9 = -6.
So, the coordinates of the point D' after the translation are (2, -6).
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