The question was rewritten because it has an obvious mistype.
Answer:
The coordinates of B' are (-3,-15)
Step-by-step explanation:
We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.
The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:
k = -9/(-3) = 3
k = -3/(-1) = 3
Thus the scale factor is 3.
If we apply the same factor to B(-1,-5), we get the coordinates of B' as:
B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)
The coordinates of B' are (-3,-15)
