It states (45:27) לָש ֵׂאת יוֹסֵף שָׁלַח ֶׁראֲש הָע ֲגָלוֹת אֶת וַיַּרְא אֲבִיהֶם יַע ֲקֹב ַרוּח וַתְּחִי אֹתוֹ, "[Yaakov] saw the wagons that Yosef had sent to carry him, and the spirit of their father Yaakov was revived."
The sefer לשון מענה (Matersdorf) quotes his grandfather, the Chasam Sofer zy'a: It states (Tehillim 12:9) יִתְה ַלָּכוּן ָׁע ִיםרְש סָבִיב, "Wicked men walk on all sides", and the Chasam Sofer explains that the thought processes of resha'im go in a circle, not leading anywhere. Their goal is to enjoy Olam HaZeh, so they eat to work, and work to eat, and it keeps going around in circles. In contrast, an ehrlicher Yid eats so he can study Torah. He works so he can do chesed and tzedakah and raise his children to Torah. So, his goal is always for a lofty purpose. Yosef hinted to this when he sent the עגלות, which alludes to the ערופה עגלה, and עגולה means circle. He showed his father that the resha'im live a life of circles, ערופה, a dead life, without a purpose. He was hinting to his father that he isn't that way; instead, he lives for a purpose. This lifted Yaakov's spirits because he understood that even after living many years in Mitzrayim, his son, Yosef, knew the truth of life.
The essence of Eisav. He eats to work, and he works to eat. It is a cycle around ַזֶּהה הָא ָדֹם הָא ָדֹם, and thus, this is a fitting name for that nation.
Living for a Purpose
The Skulener Rebbe zt'l (Noam Eliezer, Toldos) quotes the Dubno Magid, and he adds that this is the meaning of the pasuk (Bereishis 25:30) אֱדוֹם שְׁמוֹ קָרָא כֵּן עַל א ָנֹכִי ע ָיֵף כִּי ה ַזֶּה הָא ָדֹם הָא ָדֹם מִן נָא ה ַלְע ִיט ֵנִי יַע ֲקֹב אֶל עֵשָׂו וַיֹּאמֶר, "Eisav said to Yaakov, 'Pour into me some of this red, red pottage, for I am faint', he was therefore named Edom." For this one statement, his nation is forever called אדום. Why is that? But the answer is that this describes Living for a Purpose.
