Use the Formula $\tan \psi = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 1 } m _ { 2 } } \right|$

question 28

Essay

Use the formula $\tan \psi = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 1 } m _ { 2 } } \right|$ to find the acute angle $\psi$ formed by the two lines $y - x = 0$ and $2 x - 3 y = 1$ .

---

Definitions:

Economic Growth

The increase in the inflation-adjusted market value of the goods and services produced by an economy over time, typically measured as the percentage increase in real gross domestic product (GDP).

Mass-Consumer Society

A society characterized by the widespread consumption of goods and services, largely driven by advertising, mass production, and an emphasis on consumerism.

Muckrakers

Journalists and authors who exposed social injustices and political corruption in the early 20th century.

Urban Life

Describes the lifestyle, cultural experiences, and living conditions within cities or heavily populated areas.