Coordinate Geometry

On a Cartesian plane, the horizontal axis is called the x axis and the vertical axis is called the y axis.

The point of intersection of the x and y axes is called the origin. The coordinates of the origin are (0,0).

All the points on the Cartesian plane can be represented by an ordered pair called coordinates which is written as (x,y) and is measured from the origin.

An interval is the line segment formed when two points are joined.

The Distance formula:
The distance d between any two Cartesian coordinates (x1,y1) and (x2,y2) is:

d = square root of [ (x2-x1)squared + (y2-y1)squared ]

The Midpoint formula:
M(x,y)= [ x1+x2/2 , y1+y2/2 ]

The midpoint M(x,y) between two points (x1,y1) and (x2,y2) is:

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