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This chapter provides a glossary of key concepts related to introductory algebra, specifically focusing on ordered pairs, tables of values, coordinate systems, graphs of equations, functions, and lines.
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Introductory AlgebraGlossary Chapter Three
ordered pair • A pair of numbers written within parentheses in which the order of the numbers is important.
table of values • An organized way of displaying ordered pairs.
x-axis • The horizontal number line in a rectangular coordinate system.
y-axis • The vertical number line in a rectangular coordinate system.
rectangular coordinate system • The x-axis and y-axis placed at a right angle at their zero points, also called the Cartesian coordinate system.
quadrant • One of the four regions in the plane determined by a rectangular coordinate system.
origin • The point at which the x-axis and y-axis of a rectangular coordinate system intersect.
coordinate on a number line • Each number on a number line is called the coordinate of the point that it labels.
plot • To locate an ordered pair on a rectangular coordinate system.
graph of an equation • The set of all points that correspond to all of the ordered pairs that satisfy an equation. The graph of a linear equation in two variables is a straight line.
x-intercept • The point where a graph intersects the x-axis.
y-intercept • The point where a graph intersects the y-axis.
function • A set of ordered pairs (relation) in which each value of the first component x corresponds to exactly one value of the second component y
subscript notation • A way of indicating two nonspecific ordered pairs, such as (x1, y1) and (x2, y2), that satisfy a particular equation relating x and y.
slope • The ratio of the change in y to the change in x along a line.
rise • The vertical change between two points on a line, the change in y-values.
run • The horizontal change between two points on a line, the change in x-values.
parallel lines • Two lines in the same plane that never intersect.
perpendicular lines • Two lines that intersect to form a right angle.
Return toIntroductory Algebra • Created by • James Q. Jacobs • Superstition Mountain Campus • Central Arizona College