Formula
Intersection point of lines $A_1x+B_1y+C_1=0$ and $A_2x+B_2y+C_2=0$ has coordinates $$ x_0 = \dfrac{B_1C_2 - B_2C_1}{A_1B_2-A_2B_1}, y_0 = \dfrac{-A_1C_2 + A_2C_1}{A_1B_2-A_2B_1} $$
Intersection point of lines $A_1x+B_1y+C_1=0$ and $A_2x+B_2y+C_2=0$ has coordinates $$ x_0 = \dfrac{B_1C_2 - B_2C_1}{A_1B_2-A_2B_1}, y_0 = \dfrac{-A_1C_2 + A_2C_1}{A_1B_2-A_2B_1} $$