The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 3.

The coordinates of point P along the segment AB is (-1, 6).

Step-by-step explanation:

It is known that ratio of AP to PB is:

Or vectorially speaking:

The vector that represents the segment AB is:

If and , then:

But , then:

The location of is derived of this formula:

If and , then:

The coordinates of point P along the segment AB is (-1, 6).

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's