Answer:
S'[tex](-15,0)[/tex] and V'[tex](0,-24)[/tex]
Step-by-step explanation:
The rule for dilation of a point [tex](x,y)[/tex] with scale factor [tex]k[/tex] centered at [tex](a,b)[/tex] is
[tex](x,y)[/tex]→[tex](k(x-a),k(y-b))[/tex]
For the point S(-6,1), [tex]x=-6,y=1,a=-1,b=1,k=3[/tex]
So, coordinates of S' will be [tex](3(-6-(-1)),3(1-1))=(-15,0)[/tex]
For the point V(-1,-7), [tex]x=-1,y=-7,a=-1,b=1,k=3[/tex]
So, coordinates of V' will be [tex](3(-1-(-1)),3(-7-1))=(0,-24)[/tex]
Therefore, the co-ordinates of S' and V' are S'[tex](-15,0)[/tex] and V'[tex](0,-24)[/tex].