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Basic Graphs and Graphical Representation of Data

 Topic Review on "Title": Coordinate systems:  They are two mutually perpendicular coordinate lines which intersect in the origin O on each line. The four quadrants in a coordinate system: Quadrant I is the area where a>0 and b>0. Quadrant II is the area where a<0 and b>0. Quadrant III is the area where a<0 and b<0. Quadrant IV is the area where a>0 and b<0. Distance:  The distance between any two points is defined as: . Data sets: The grouping or collection of similar or related data. Subsets: If A and B are sets and every element of A is also an element of B, then: A is a subset of B, denoted by.   Product of two data sets: If S and T are sets, the product set of S and T will be denoted by , which satisfies . Line: A geometric figure formed by a point moving along a fixed direction and the reverse direction. Slope of a line: If and are arbitrary two points on the line, the slope can be calculated by . Midpoint of any two points: The distance between two arbitrary points is given by .

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 "Title" Tutorial Summary : This tutorial describes basic graphs of functions and how they are graphically represented in the Cartesian plane. The coordinate systems in two variables are introduced with the help of graphs. Key concepts such as the midpoint, and the distance of between two points are discussed in this tutorial. The use of relations between two sets of points and their graphs is introduced so data can be graphically represented.

 Tutorial Features: Specific Tutorial Features: • Step by step examples showing data sets, product of two data sets and relations are shown in this tutorial. • Examples displaying how to find the distance and midpoints between any two points are presented with the use of graphs. Series Features: • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced. • Definition slides introduce terms as they are needed. • Visual representation of concepts • Animated examples—worked out step by step • A concise summary is given at the conclusion of the tutorial.

 "Title" Topic List: Coordinate Systems in two dimensions Definition of coordinate systems Definition of the four quadrantsDefinition of distance and midpointRelations Definition of data sets Subsets The product of two data sets The relation of two data setsLine in a plane Definition of a line Definition of the slope of a line Parallel and perpendicular lines

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