To solve for the coordinates of point A in the rectangle:

• We are given two of the rectangle's vertices:
  $(-5, 4)$ and $(7, 4)$ are the bottom two points.
  $(7, 9)$ is the top right point.

• The x-coordinate of point A will be the same as the x-coordinate of the point $(-5, 4)$, since both points lie vertically aligned on the left side of the rectangle.

• The y-coordinate of point A will be the same as the y-coordinate of the point $(7, 9)$, since both points lie horizontally aligned on the top side of the rectangle.

Thus, the coordinates of A are $(-5, 9)$.

Would you like more details, or do you have any further questions?

Here are 5 related questions you could explore:

1. What are the coordinates of the center of this rectangle?
2. How would you calculate the area of this rectangle?
3. What is the length of the diagonal of the rectangle?
4. If the rectangle were rotated, how would the coordinates change?
5. Can you calculate the perimeter of the rectangle using its vertices?

Tip: When dealing with coordinates of geometric shapes, align points along the x-axis or y-axis to find missing coordinates!