Summary (Grade 10 NSC Matric Mathematics): Flashcards

Combines algebra & geometry using coordinates & equations

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

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$y = mx + c$

Gradient

y-intercept

Equal gradients: $m_1 = m_2$

$m_1 \times m_2 = -1$ (negative reciprocals)

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

Zero (0)