Algebra Review 1
RENE' DESCARTES
CARTESIAN COORDINATES
The scaling on each axis is symmetric about the origin.
The ordered pair (a,b) corresponds to the point where the perpendicular to the x-axis at a crosses the perpendicular to the y-axis at b.
a is the x-coordinate of P. b is the y-coordinate of P. (a,b) is the coordinate pair of the point P.
The assignment of coordinates is a one-to-one correspondence between the points of the plane and the set of all ordered pairs of real numbers.
Directions and Quadrants
NOTE...
...NOTE
NOTATION
ILLUSTRATION
Increments
PPT Slide
Distance Formula
EXAMPLE
Circles centered at the origin
Unit Circle
Midpoint
Slope of a non-vertical line
Angle of Inclination of a line that crosses the x-axis
Angle of Inclination
Perpendicular Lines
Equation for a Line
Horizontal Line
Vertical Line
Point-Slope Equation
...SOLUTION
Slope-Intercept Equation
General Linear Equation
Lines through the origin
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