x y (x,y) x - coordinate y - coordinate
How are coordinates helpful?
A coordinate plane is composed of a horizontal number line (x-axis) and a vertical number line (y-axis). (--, +)(+, +) (--, --)(+, --) y x
The point where the two axes intersect is the origin. origin (--, +) (+, +) (--, --)(+, --) y x
origin (--, +) (+, +) (--, --)(+, --) An ordered pair is a pair of numbers used to name a location on a grid. y x
The first number, or the x-coordinate, tells how far to the right or left the point is located in the horizontal direction (x-axis). (3, 2) x y x
The second number, or the y-coordinate, tells how far up or down the point is located in the vertical direction (y-axis). The coordinates of the origin are (0, 0) (3, 2) y y x
The coordinate axes divide the plane into four regions called quadrants. Quadrant (+, +) (--, +) (--, --) (+, --) y x
All points in Quadrant I have two positive coordinates. Quadrant I (+, +) y x
Quadrant II (--, +) All coordinates in Quadrant II have a negative x-coordinate and a positive y-coordinate y x
Quadrant III (--, --) All coordinates in Quadrant III have a negative x-coordinate and a negative y-coordinate. y x
Quadrant IV (+, --) All coordinates in Quadrant IV have a positive x-coordinate and a negative y-coordinate. y x
Ordered Pairs Ordered Pairs – are used to locate points on a grid. The number that is used to represent a point are called coordinates. (2, 4) are the coordinates on point P.