In this story, the house is personified as a living thing, and it is described as having a soul. This gives the house a sense of pathos, and it makes the reader feel sympathy for it. The fact that the house is dying is a tragedy, and it represents the loss of something valuable.
The line "The house and garden went to rot, while the city grew up and around" also suggests that the city is indifferent to the fate of the house. The city is growing and changing, and it has no time for the past. This is a symbol of the way that progress often comes at the expense of tradition.
Overall, the last line of "The House Began to Die" is significant because it highlights the contrast between the decaying house and the thriving city. This contrast represents the tension between the past and the future, and it is a reminder that progress often comes at the expense of tradition.