Is line 5 of Household in its correct place?

It is in its correct place (當位): a yang line in an odd position or a yin line in an even one, which the tradition reads as a line at ease where it stands. It is central (中): the middle line of its trigram, the position the commentaries read as balanced and most favourable.

Hexagram 37, line 5

九五Line 5 of Household

Nine in the fifth place · 家人 jiā rén

the king comes homemutual loveno anxiety

爻辭 The line text

王假有家，勿恤，吉。

The fifth line, undivided, shows the influence of the king extending to his family. There need be no anxiety; there will be good fortune.

Its symbolism

王假有家，交相愛也。

'The influence of the king extends to his family:'—the intercourse between them is that of mutual love.

In plain words

The king comes to his household: no need for worry, good fortune. 假 is 'to arrive at' or 'to reach', and the line pictures the head of the house — yang, central and correct in the ruler's place, the outer ruler of the hexagram — bringing his whole presence home, where the inner ruler at two answers him. Government of the family is accomplished not by rules at this stage but by relationship. The small Image says why nothing needs worrying over: 'they love one another' (交相愛). This is the hexagram's fulfilled state, the counterpart to line one's fences and line three's sternness.

If this line is changing

Bring your full self to the people who are yours instead of managing them from a distance; when affection runs both ways, the worrying can stop.

Where the line stands

A solid line, yang — written 九 (nine), the number of an old yang line that moves when cast.
It is in its correct place (當位): a yang line in an odd position or a yin line in an even one, which the tradition reads as a line at ease where it stands.
It is central (中): the middle line of its trigram, the position the commentaries read as balanced and most favourable.
It belongs to the upper trigram 巽 Xun (the Gentle) (wind).
It corresponds (應) with line 2: one yin and one yang, the two lines answer each other across the hexagram.

之卦 When this line moves

家人 Household becomes ䷕ 22 賁 Adornment

Fire at the foot of the mountain: beauty lighting the forms of things. Success in small matters through grace and style; ornament should serve substance, not replace it.

What it becomes22 · 賁 Adornmentbì

The six lines of 家人 Household

Read 家人 Household for a question about

Love and relationships Work and career A yes-or-no decision

Questions about this line

What does Nine in the fifth place of hexagram 37, Household, mean?: The king comes to his household: no need for worry, good fortune. 假 is 'to arrive at' or 'to reach', and the line pictures the head of the house — yang, central and correct in the ruler's place, the outer ruler of the hexagram — bringing his whole presence home, where the inner ruler at two answers him. Government of the family is accomplished not by rules at this stage but by relationship. The small Image says why nothing needs worrying over: 'they love one another' (交相愛). This is the hexagram's fulfilled state, the counterpart to line one's fences and line three's sternness.
What does hexagram 37 become when line 5 changes?: Household becomes hexagram 22, 賁 Adornment: Fire at the foot of the mountain: beauty lighting the forms of things. Success in small matters through grace and style; ornament should serve substance, not replace it.
Is line 5 of Household in its correct place?: It is in its correct place (當位): a yang line in an odd position or a yin line in an even one, which the tradition reads as a line at ease where it stands. It is central (中): the middle line of its trigram, the position the commentaries read as balanced and most favourable.

Cast a reading Hexagram 37 in full Changing lines explained

Chinese text: the received Zhouyi (Wuyingdian lineage). English: James Legge, The Yî King, Sacred Books of the East XVI, 1882 (public domain).