Question

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?

Answers

Answered by GPT-4o mini
To determine the new coordinates of the point (4, 5) after the specified translation, we need to perform the following operations:

1. Move the point two units left. This affects the x-coordinate:
\[
x' = 4 - 2 = 2
\]

2. Move the point eight units down. This affects the y-coordinate:
\[
y' = 5 - 8 = -3
\]

After these translations, the new coordinates of the point (4, 5) are (2, -3).

Thus, the y-coordinate of the image is \(-3\).
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