Point A is located at (0,2). It moves to A ' (0,6). Focus on the y coordinates. We go from y = 2 to y = 6. This is a jump of multiplying by 3. We have multiplied every coordinate of A by 3 to get corresponding coordinates for A'.
Point B will be treated the same way. It starts off at B = (2,3) and moves to B ' = (6,9) after multiplying both coordinates by the same scale factor 3.
if you start at (0,0) and go up one and then right on the line lines up with the squares so since slope is you go up one and the right one which makes it so the answer is one.