Final answer:
To determine if the points E, F, and G are collinear, we can use the distance formula. The sum of the distances between any two points should be equal to the distance between the other two points. In this case, EF + FG is not equal to EG, so E, F, and G are not collinear.
Step-by-step explanation:
To determine if the points E, F, and G are collinear, we can use the distance formula. The distance between E and F is 16, the distance between F and G is 7, and the distance between E and G is 23.
If the three points are collinear, the sum of the distances between any two points should be equal to the distance between the other two points. In this case, if E, F, and G are collinear, then EF + FG = EG.
Let's calculate EF + FG: 16 + 7 = 23. However, EG is given as 23, so EF + FG is not equal to EG. Therefore, E, F, and G are not collinear.