Summary (Grade 12 NSC Matric Mathematics): Flashcards

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ (rise over run)

$M = \left(\frac{x_1 + x_2}{2}; \frac{y_1 + y_2}{2}\right)$

$m_{AB} = m_{AM} = m_{MB}$ (all gradients equal)

$y = mx + c$

$m_1 = m_2$ (same gradients)

$m_1 \times m_2 = -1$

$y = k$ (gradient = 0)

$x^2 + y^2 = r^2$

$(x - a)^2 + (y - b)^2 = r^2$