Question

Given 3 different points M,A,T on the same line such that coordinate of A is -3 and AM=5. Give ALL possible coordinates of M.

Answer 1

There are two possible coordinates for point M when it is on the same line as point A with a distance of 5 units from A: they are 2 and -8.

Step-by-step explanation:

The student's question involves finding all possible coordinates of point M given that it lies on the same line as point A (whose coordinate is -3) and the distance AM equals 5 units. There are two possible scenarios here as lines extend in two directions.

1. If M is to the right of A, then M would be located at (A + AM), which is -3 + 5, giving us the coordinate 2.
2. If M is to the left of A, then M would be located at (A - AM), which is -3 - 5, giving us the coordinate -8.

Therefore, the two possible coordinates for point M are 2 and -8.