The point P ( - 4, 2) lies on the line segment joining the points A ( - 4, 6) and B ( - 4, - 6).

True

First plot all the points A, B and P on the graph paper.

As given, coordinates of point P is ( - 4, 2), A ( - 4, 6) and B ( - 4, - 6);

Now draw a line connecting point A and B;

As we can see from the figure, point P ( - 4, 2) lies on the line segment joining the points A ( - 4, 6) and B ( - 4, - 6),

2