## Mathematical Topics: Analytic Geometry 1 Subject 1: Points of a plane, coordinates, slope through two points, midpoint, distance between two points. Level 1 : Identify a point and its coordinates Level 2 : Find the midpoint of a segment Level 3 : Find an endpoint of a segment Level 4 : Find the slope of a line passing through two points Level 5 : Check if three points are on the same line Level 6 : Find the distance between two points Subject 2: The line y = ax + b, the coefficients, forming an equation. Level 1 : Implicit and explicit equation Level 2 : The point-slope equation of a line Level 3 : Equation of a line through two points Level 4 : Equation of a line parallel to a given line Level 5 : Equation of a line perpendicular to a given line Level 6 : Intersection point of two lines Level 7 : Advanced problems Subject 3: The circle x² + y² = R², (x - a)² + (y - b)² = R², tangent, intersection with a line, circle through three points. Level 1 : Center, radius, length and area of a circle Level 2 : Equation of a circle given the center and the radius. Checking the location of a point: outside and inside a circle. Level 3 : Equation of a circle given a diameter Level 4 : Equation of the tangent at a given point Level 5 : Find one coordinate of a point given the other Level 6 : Intersection of a circle and a line Level 7 : Center of a circle through three points        (C) Copyright 2000 MathKal Educational Software Ltd.