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 Depdendent Variable

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 Dependent Variable

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# The Cartesian Coordinate Plane

• It is vitally important that a person be able to read graphs. Lots of information is presented in newspapers and other reports in graphical form. Some of the most common types of graphs to be used are bar graphs, pie charts, and line graphs.

– Bar graphs

– Pie charts (circle graphs)

– Line graphs.

• The system used in most mathematics for graphing is called the “Cartesian” (or Rectangular) coordinate plane.

– The plane consists of a vertical axis and a horizontal axis. (Plural for axis is “axes”.) Each axis is a number line. The lines are perpendicular to each other and cross each other at 0.

– The origin is the point where the two lines cross.

– The position of a point in the coordinate plane is given by an ordered pair (so-called because order is important).

• The first coordinate gives the horizontal position of the point. When unknown, this is usually (but not always) represented by x.
• The second coordinate gives the vertical position of the point. When unknown, this is usually (but not always) represented by y . Plot some points and read coord’s, then give ordered pairs and plot the points.
• Stay away from locking yourself into thinking x and y .

– The coordinate plane is broken into 4 quadrants, starting in the upper right and moving counterclockwise around the origin.

Quadrant I is where both coordinates are positive.

Quadrant II is where the first coordinate is negative and the second coordinate is positive.

Quadrant III is where both coordinates are negative.

Quadrant IV is where the first coordinate is positive and the second coordinate is negative.