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Linear Coordinate System
graphical representation of the real numbers as points of a straight line
Rectangular Coordinate System
two linear coordinate systems intersecting at right angles in their origins
Origin
(0,0)
Coordinate of a point
the number that corresponds to a point
Abscissa
the x-coordinate of an ordered pair
Ordinate
the y-coordinate of an ordered pair
Quadrants
the four sections of the coordinate plane
Distance formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Midpoint formula
(x₁+x₂)/2, (y₁+y₂)/2
Slope
steepness of a line
Point-slope equation
y - y1 = m(x - x1)
Slope-intercept equation
y = mx + b
Parallel lines
lines with the same slope
Perpendicular lines
lines that intersect at 90 degrees
Perpendicular lines
m1m2 = -1
m2 = - ( 1 / m1 )