The coordinate rule is [tex](3.5x-15,3.5y-5)[/tex]
Explanation:
The center is given by [tex](6,2)[/tex]
The scale factor is [tex]k=3.5[/tex]
We need to determine the coordinate rule with the given center and scale factor.
Let us consider the vertex as [tex](x,y)[/tex]
The translation of the center is given by
[tex](x-6,y-2)[/tex]
Let us multiply the scale factor 3.5.
Thus, we have,
[tex](3.5(x-6),3.5(y-2))[/tex]
Simplifying the terms, we have,
[tex](3.5x-21,3.5y-7)[/tex]
Translating back, we get,
[tex](3.5x-21+6,3.5y-7+2)[/tex]
Simplifying the terms, we have,
[tex](3.5x-15,3.5y-5)[/tex]
Thus, the coordinate rule is [tex](3.5x-15,3.5y-5)[/tex]
