y x © T Madas

y The y - coordinate is always twice the x -coordinate for points on this line (x,y) x © T Madas

y The y - coordinate is always twice the x -coordinate for points on this line (x,y) x © T Madas

y The y - coordinate is always twice the x -coordinate for points on this line x (x,y) © T Madas

y y = 2x is the equation of this line x © T Madas

y What would the rule be between the x coordinate and the y coordinate so that we get a circle instead of a line x © T Madas

y 2 x + 2 y = 2 r (x,y) r y x x © T Madas

y 2 x + 2 y = 2 r (x,y) r y x x © T Madas

y 2 x + 2 y = 2 r (x,y) r y x x © T Madas

y 2 x + 2 y = 2 r (x,y) y r x x © T Madas

y 2 x + 2 y = 2 r (x,y) r y x x © T Madas

y 2 x + 2 y = 2 r (x,y) r y x x © T Madas

y 2 x + 2 y = 2 r (x,y) r x y x © T Madas

y 2 x + 2 y = 2 r x x y r (x,y) © T Madas

y 2 x + 2 y = 2 r x x y r (x,y) © T Madas

y 2 x + 2 y = 2 r x x y r (x,y) © T Madas

x y + r = 2 centre the origin (0,0) radius r is the equation of a circle with: centre the origin (0,0) radius r © T Madas

x y + 16 = x y + 81 = x y + 20 = for example ... 4 9 20 ≈ 4.46 is a circle with centre at the origin and radius 2 x y + 81 = 9 is a circle with centre at the origin and radius 2 x y + 20 = 20 is a circle with centre at the origin and radius ≈ 4.46 © T Madas

© T Madas