Ex 1: Find a Point of Intersection of a Line and a Circle

Defining the equations00:00:00

The video starts by establishing the equations for a circle with radius 4 centered at the origin (x^2 + y^2 = 16) and the linear equation y = 2x.

Solving by substitution00:01:43

The system of equations is solved using substitution, where 2x is substituted for y in the circle's equation, leading to the calculation of the intersection point's coordinates.

Rationalizing and decimal approximation00:04:07

The coordinates are rationalized to the form 4√5/5 and 8√5/5, followed by a guide on calculating decimal approximations for verification on a graph.