To perform a dilation transformation, we need to know the center of dilation, the original point, and the scale factor. In this case, it seems like you are referring to a dilation of the point (-4, 5) with a scale factor of \( \frac{1}{2} \).

### Steps:
1. **Original Point**: \((-4, 5)\)
2. **Scale Factor**: \( \frac{1}{2} \)

To find the image of the point after dilation, multiply both the \( x \)- and \( y \)-coordinates of the original point by the scale factor:

\[
x' = -4 \times \frac{1}{2} = -2
\]

\[
y' = 5 \times \frac{1}{2} = 2.5
\]

### Result:
The image of the point \((-4, 5)\) after a dilation with a scale factor of \( \frac{1}{2} \) is:

\[
(-2, 2.5)
\]

Do you want more details or have any questions?

#### Related Questions:
1. What happens to the coordinates of a point when a negative scale factor is used for dilation?
2. How does a dilation transformation differ from a reflection or rotation?
3. What is the general formula for a dilation transformation?
4. Can you show the transformation of multiple points using different scale factors?
5. How does the distance between points change under dilation?

**Tip:** When performing a dilation, if the scale factor is less than 1, the image of the point will be closer to the origin compared to its pre-image.

Learn how to perform a dilation of the point (-4, 5) with a scale factor of 1/2. This problem covers key geometric concepts such as dilation, coordinate transformations, and the dilation formula. Suitable for students in Grades 6-8.

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