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Questions and Answers
What is the point where the x-axis and y-axis intersect in the Cartesian plane?
What is the point where the x-axis and y-axis intersect in the Cartesian plane?
What is the x-coordinate of an ordered pair also known as?
What is the x-coordinate of an ordered pair also known as?
What type of equation can be represented by a point graph?
What type of equation can be represented by a point graph?
What is the purpose of constructing a table for pairs of values satisfying a linear equation?
What is the purpose of constructing a table for pairs of values satisfying a linear equation?
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What is the geometrical shape that can be drawn by joining a set of given points?
What is the geometrical shape that can be drawn by joining a set of given points?
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Study Notes
Cartesian Plane and Graphing
- A pair of real numbers can be identified as an ordered pair.
Rectangular Coordinate Plane
- The Cartesian plane consists of two number lines (x-axis and y-axis) that intersect at right angles at the point O (origin).
- The x-axis and y-axis divide the plane into four quadrants.
Locating Points in the Rectangular Plane
- An ordered pair (a, b) can be located as a point in the rectangular plane:
- a is the x-coordinate (abscissa)
- b is the y-coordinate (ordinate)
Drawing Geometrical Shapes
- Various geometrical shapes can be drawn by joining a set of given points, such as:
- Line segments
- Triangles
- Rectangles
- etc.
Linear Equations
- A table can be constructed for pairs of values satisfying a linear equation in two variables.
Graphing Linear Equations
- The graph of a given linear equation can be drawn.
Special Cases of Linear Equations
- The graph of an equation of the form y = c can be drawn.
- The graph of an equation of the form x = a can be drawn.
Graphing Discrete Values
- A graph can be drawn from a given table of discrete values by choosing an appropriate scale.
- Not all first-degree equations form a linear graph; some may be a point graph.
Problem-Solving
- Problems related to linear graphs can be solved.
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Description
Learn about the Cartesian plane, ordered pairs, and basic geometric shapes. Understand how to locate points in the rectangular plane and construct simple shapes.
