If you slump in your chair, it's no good because the lower part of your spine will get curved.
椅子に浅く腰掛ける = slump in a chair, sit on the edge of the chair while leaning on the back of the chair
(直訳すると「sit shallowly in a chair」になりますが、英語では通じません!「椅子に浅く腰掛ける」を検索して写真を見てから意味がわかりました!)