segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?

Scale factor is 3.

Step-by-step explanation:

Given: The Line Segment AB is dilated and a line segment A'B' is created.

A' (0, 6) and B' (6, 9).

As per the given graph , we can easily see that the coordinates of A and B are

A(0, 2) and B(2, 3)

Please refer to attached graph for the coordinates of A', B' and A, B.

The distance formula is given as:

D is the distance between two coordinates and .

So, the distance AB =

Similary, distance A'B' =

We can clearly see that A'B' is three times the distance AB.

So, The scale factor 3.

set the two equations for y equal to each other. solve for x. this will be the x-coordinate for the point of intersection. use this x-coordinate and plug it into either of the original equations for the lines and solve for y.