Final answer:
To find the point 2/9 of the way from A=5 to B=29 on the number line, first calculate the distance between A and B, then find 2/9 of that distance and add it to point A. The point is located at 10.33.
Step-by-step explanation:
The location of the point on the number line that is 2/9 of the way from A=5 to B=29 is found by determining the distance between the two points and then finding what 2/9 of that distance is when added to point A. The difference between B and A is 29 - 5 = 24. To find 2/9 of this distance, we multiply 24 by 2/9, which gives us 24 * (2/9) = 5.33. Therefore, to find the point that is 2/9 of the way from A to B, add this value to A's position: 5 + 5.33 = 10.33. Hence, the point is located at 10.33 on the number line.