Cartesian Plane
1. The Cartesian plane is a two-dimensional coordinate system defined by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical).
2. Each point on the plane is represented by an ordered pair $(x,y)$, where $x$ is the horizontal coordinate and $y$ is the vertical coordinate.
3. The origin is the point $(0,0)$ where the x-axis and y-axis intersect.
4. The plane is divided into four quadrants:
- Quadrant I: $x>0$, $y>0$
- Quadrant II: $x<0$, $y>0$
- Quadrant III: $x<0$, $y<0$
- Quadrant IV: $x>0$, $y<0$
5. To plot a point, start at the origin, move $x$ units along the x-axis, then move $y$ units parallel to the y-axis.
6. The Cartesian plane is fundamental for graphing equations, analyzing geometric shapes, and solving algebraic problems involving two variables.
Final answer: The Cartesian plane is a coordinate system with perpendicular x and y axes used to locate points by ordered pairs $(x,y)$.