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11 Cards in this Set

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  • Back
What is the Cartesian Coordinate System and what/who is it named for?
The Cartesian Coordinate System is plane made of two dimensions (axes) It is named for the French Philosopher/Mathematician Rene Descartes.
(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)
(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.
(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)
(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.
(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.
(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)
What is an independant variable?
Generally, the independant variable is thought to be the "input" to a function. In the ordered pair (x,y), x is the independant variable.
What is a dependant variable?
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.
What is the Distance formula? What well-known formula is was it created from?
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.
What is the Midpoint Formula?
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)