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11 Cards in this Set
- Front
- Back
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What is the Cartesian Coordinate System and what/who is it named for?
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The Cartesian Coordinate System is plane made of two dimensions (axes) It is named for the French Philosopher/Mathematician Rene Descartes.
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(Elementary Review)
What are the generic names for the two axes within the Cartesian Coordinate System? |
The two axes are generally named "x" and "y". The x axis is the horizontal and the y axis is the vertical. (Although, they may be named any two letters)
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(Elementary Review)
Regarding the Cartesian Coordinate System, what are quadrants, and how are they ordered? |
A quadrant is one of the four sections within the coordinate system that is divided by the two axes. The quadrants are named with roman numerals (I-IV) and start in the top right and proceed to be numbered counterclockwise.
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(Elementary Review)
Regarding The Cartesian Coordinate System, what is the origin, and what is the ordered pair associated with it? |
The origin is the spot at which the two axes intersect each other perpendicularly. The ordered pair for the origin is (0,0)
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(Elementary Review)
When talking about ordered pairs, what is an abscissa? What is an ordinate? |
Abscissa: the abscissa of an ordered pair is the x-coordinate of the pair.
Ordinate: The ordinate of an ordered pair is the y-coordinate of the pair. |
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(Elementary Review)
What does a graph represent? |
A graph can represent an infinite amount of answers, or a select amount of answers. Either way, a graph is used to display mass quantities of information in a small area.
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(Elementary Review)
What are x and y-intercepts? |
Intercepts in general are parts at which the graph of an equation or function crosses an axis. An x-intercept is the point at which the graph crosses the x-axis: (a,0)
A y-intercept is the point at which the graph of an equation or function crosses the y-axis: (0,b) |
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What is an independant variable?
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Generally, the independant variable is thought to be the "input" to a function. In the ordered pair (x,y), x is the independant variable.
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What is a dependant variable?
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A dependant variable is generally thought to be the "output" of a function. It is called "dependant" because its value depends on the input (independant variable) In the ordered pair (x,y), y is the dependant variable.
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What is the Distance formula? What well-known formula is was it created from?
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The distance formula is a formula which is used to find the distance between two points. The distance formula was derived from the Pythagorean theorem.
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What is the Midpoint Formula?
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The midpoint formula is a simple formula used to find the midpoint of a line segment. It is essentially finding the mean of each coordinate. (add the x-coordiantes together and divide by two, then add the y-coordinates together and divide them by two. the results are the new x and y-coordinate for the midpoint of the segment)
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