QR has the endpoints Q(–10, 7) and R(1, –4). Gabrielle found the x-coordinate of the point that partitions the directed line segment QR in the ratio 2:3. Her work is shown below. 1. x = (x2 – x1) + x1

2. =(1 – (–10)) + (–10)

3. =(11) – 10

4. = =

The x-coordinate of the point P that partitions the directed line segment QR in the ratio 2:3 is , or
–5.6.

The y-coordinate of the point P is
.