Given:
A coordinate pair was dilated from (-3, 2) to (-6, 4).
To find:
The scale factor.
Solution:
We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.
The value of scale factor is:
![k=\frac{x\text{-coordinate of image}}{x\text{-coordinate of original point}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/ppo3rbwtadffta7u72nj6u8ft7dngur2hs.png)
![k=(-6)/(-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8y4p940aaq5x2pjlzlz5l8f6fp8mi02313.png)
![k=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/qlu3xvxumbehb5icw0vqad5rjw3vqvv2mu.png)
Therefore, the scale factor is 2.