Given a point A(-3,-14, it is dilated by some scale factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?

The question was rewritten because it has an obvious mistype.

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)