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In the problem shown, you are asked to find the new coordinates of point \( A(7, 6) \) after a translation. The translation described is **1 unit up** and **9 units to the left**.

### Steps:
1. **Move 9 units to the left:** Subtract 9 from the x-coordinate of point \( A \).
   \[
   x' = 7 - 9 = -2
   \]
2. **Move 1 unit up:** Add 1 to the y-coordinate of point \( A \).
   \[
   y' = 6 + 1 = 7
   \]

### Result:
The new coordinates of point \( A \) after the translation are \( (-2, 7) \).

Would you like further explanation on translations or anything else?

Here are some related questions you might find useful:
1. What happens to the coordinates of a point when it is reflected over the x-axis?
2. How do translations affect geometric figures like triangles?
3. How would the coordinates change if you translated point \( B \) the same way as point \( A \)?
4. Can you describe how a translation differs from a rotation or reflection?
5. What is the formula for translating a point by \( (a, b) \)?

**Tip:** When translating a point, always apply the horizontal and vertical shifts separately to the respective coordinates.

If triangle ABC is translated up one unit and to the left nine units, what are the new coordinates of point A?

Solve the translation of point A in triangle ABC when it is moved 1 unit up and 9 units to the left. This problem involves translation in coordinate geometry, with the use of basic translation formulas. Suitable for students in Grades 6-8.

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