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Coordinate Geometry

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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Coordinate Geometry

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  1. Coordinate Geometry

  2. 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

  3. Number line graphs • Most basic type of graphing • Usually used to graph inequalities Example 1 1. Graph: x < 4 Solution: The problem asks you to graph all numbers that are less than 4.

  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

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

  6. 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

  7. Equation of a line • Standard form: • Slope intercept form: • where and

  8. Point-slope form for a line • Vertical Line x = a, where a is the x-intercept • Horizontal Line y = b, where b is the y-intercept

  9. 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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