The Facts On File Algebra Handbook

(Marvins-Underground-K-12) #1

Cartesian Coordinate System – Celsius and Fahrenheit Conversion CHARTS & TABLES


Cartesian Coordinate System – Celsius and Fahrenheit Conversion CHARTS & TABLES


Cartesian Coordinate System
The standard graph used to plot points of ordered pairs is the Cartesian coordinate
system. It is made up of two axes, and has four quadrants. Here are some of the
elements of this system:
The x-axisis the horizontal axis.
The y-axisis the vertical axis.
An xpoint on the graph is called the abscissa.
Aypoint on the graph is called the ordinate.
When an xpoint and a ypoint are indicated together, they become coordinates on the
graph. Written together as (x,y),they are called an ordered pair.

The ordered pairsindicate where the numbers are to be plotted on the graph, and
the order in which they are written is significant. The first number corresponds
with the point on the x-axis, and the second number corresponds with the point on
the y-axis, (x,y).

Afunctionis a set of ordered pairs in which all of the x-coordinate numbers are
different.
This is not a function, because not all of the x-coordinates are different:
(3, 5), (5, 2) (5, 6), (8, 3)
This is a function, because all of the x-coordinates are different:
(2, 7), (4, 3), (7, 4), (9, 6).
The originis the point of intersection of the x-axis and the y-axis on the graph. It is
indicated with the letter O,and has the ordered pair (0, 0).

Aquadrantis one of the four sections of the graph used for plotting coordinates. The
quadrants are the result of the interception of the x-axis and y-axis.

Celsius and Fahrenheit Conversion
From the Celsius system to the Fahrenheit system of temperature, or vice versa, the
calculation is:
Fahrenheit = (C ×1.8) + 32°
Celsius = (F – 32°)÷ 1.8
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