<em>Dilation is a transformation, which is used to resize the object</em>
In th given figure we have center at (-8, 2)
Scale factor= 2/3
then the coordinates after dilation id the product of the old coordinates with scale factor.
Center = (-8, 2)
So, dialation with scale 2/3 is
![\begin{gathered} \text{ Since, (-8,2) are the center then for the dialation coordinate} \\ \text{Dialation at x is : }\frac{3}{2}(-8) \\ \text{Dialation at x coordinate=}-12 \\ \text{for, y coordinate:} \\ \text{Dialation at y is : }\frac{3}{2}(2) \\ \text{Dialation at y is : }3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7B%20%20Since%2C%20%28-8%2C2%29%20are%20the%20center%20then%20for%20the%20dialation%20coordinate%7D%20%5C%5C%20%5Ctext%7BDialation%20at%20x%20is%20%3A%20%7D%5Cfrac%7B3%7D%7B2%7D%28-8%29%20%5C%5C%20%5Ctext%7BDialation%20at%20x%20coordinate%3D%7D-12%20%5C%5C%20%5Ctext%7Bfor%2C%20y%20coordinate%3A%7D%20%5C%5C%20%5Ctext%7BDialation%20at%20y%20is%20%3A%20%7D%5Cfrac%7B3%7D%7B2%7D%282%29%20%5C%5C%20%5Ctext%7BDialation%20at%20y%20is%20%3A%20%7D3%20%5Cend%7Bgathered%7D)
So, the coordinate after dialation is (-8, 3)
K' = -8 anf P'=3