Calc1131W13T2Q3 - rational parametrisation of the hyperbola

Topic:
Hyperbola
Derivation of the rational parametrisation of the unit hyperbola
  1. Find the equation of the black line through the point [-1,0] and [0,t].
  2. The line and hyperbola intersect at two points: [-1,0] and another point. Find the other point as an equation of .
Hint: start by substituting the line into the hyperbola to find a quadratic equation for .