Identification of Q-point in BJT
The center of the load line will want to be at half the supply rail of -12V. So that center point would be -6V.

The output from the circuit is taken from the collector of the transistor and you want to select the center of the supply rails so as to permit the output to be able to support an symmetric swing around that point getting up close to the GND and -12V extremes without distortion or clamping.