A grid shows the positions of a subway stop and your house. The subway stop is located at (4, –2), and your house is located at (–9, –6). What is the distance, to the nearest unit, between your house and the subway stop?

A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?

Step-by-step explanation:

1) Given
2) Adding segments AB and BC together gives AC (Addition postulate, not too sure about the terminology) 
3) Segment Addition postulate 
4) Segment Addition postulate(Knowing that AC=BD, the distance between BC and CD add up to BD, shown in #3. AB and BC add together to give AC) 
5) Subtraction property of Equality 

Hope I helped :)