Lesson 8 · Circle

Angle between Two Straight Lines

Optional MathematicsSubject
8 minEstimated read
Activity 1

The angle between two lines in general form

Method
  • Take two straight lines in the general form \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \).
  • Discuss the questions below with your friends.
Discussion
  • What are the slopes \( m_1 \) and \( m_2 \) of these lines?
  • If the angle between the lines is \( \theta \), what is the value of \( \theta \) when you substitute \( m_1 \) and \( m_2 \) into \( \tan\theta = \pm\left(\frac{m_1 - m_2}{1 + m_1m_2}\right) \)?
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