Revision sheet · Mathematics

Coordinate geometry

Distance formula: $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$
Midpoint formula: $M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$
Equation of a straight line (slope and y-intercept): $y = a x + b$
Section formula (the point dividing a segment in a ratio): $P = (\frac{m _{1} x _{2} + m _{2} x _{1}}{m _{1} + m _{2}}, \frac{m _{1} y _{2} + m _{2} y _{1}}{m _{1} + m _{2}})$