Coordinate geometry
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Coordinate Geometry. Quadrants of the Coordinate Plane. Co-ordinate plane is composed of x- axis and y-axis , which meet at the origin (0,0) Axes divide the plane into four parts called quadrants. Number line graphs Most basic type of graphing Usually used to graph inequalities.

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  • Co-ordinate plane is composed of x- axis and y-axis, which meet at the origin (0,0)

  • Axes divide the plane into four parts called quadrants


Example 1

1. Graph: x < 4

Solution: The problem asks you to graph all numbers

that are less than 4.


2. Graph: -2 < x ≤ 4

Solution: The problem, which is a conjunction, asks for a

graph of all thenumbers between -2 and 4. Be

sure to note that -2 is not included inthe solution

while 4 is.

  • Example 2


  • Slope of a line

  • To find the slope of a line ‘m’ passing through points (x1,y1) and (x2,y2) :


  • Two lines are parallelif their slopes, m1 and m2 are equal:

    m1 = m2

  • Two non parallel lines are perpendicular if their slopes are negative reciprocals of each other

    m1*m2= -1




  • Distance Formula

    The distance,d, between the points (x1,y1) and (x2,y2) is given by

  • Midpoint Formula

    The midpoint, M, between (x1,y1) and (x2,y2) is given by


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