Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Intermediate Algebra

Key Terms

Intermediate AlgebraKey Terms

Key Terms

boundary line
The line with equation Ax+By=CAx+By=C is the boundary line that separates the region where Ax+By>CAx+By>C from the region where Ax+By<C.Ax+By<C.
domain of a relation
The domain of a relation is all the x-values in the ordered pairs of the relation.
function
A function is a relation that assigns to each element in its domain exactly one element in the range.
horizontal line
A horizontal line is the graph of an equation of the form y=b.y=b. The line passes through the y-axis at (0,b).(0,b).
intercepts of a line
The points where a line crosses the x-axis and the y-axis are called the intercepts of the line.
linear equation
An equation of the form Ax+By=C,Ax+By=C, where A and B are not both zero, is called a linear equation in two variables.
linear inequality
A linear inequality is an inequality that can be written in one of the following forms: Ax+By>C,Ax+By≥C,Ax+By<C,Ax+By>C,Ax+By≥C,Ax+By<C, or Ax+By≤C,Ax+By≤C, where A and B are not both zero.
mapping
A mapping is sometimes used to show a relation. The arrows show the pairing of the elements of the domain with the elements of the range.
ordered pair
An ordered pair, (x,y)(x,y) gives the coordinates of a point in a rectangular coordinate system. The first number is the x-coordinate. The second number is the y-coordinate.
origin
The point (0,0)(0,0) is called the origin. It is the point where the x-axis and y-axis intersect.
parallel lines
Parallel lines are lines in the same plane that do not intersect.
perpendicular lines
Perpendicular lines are lines in the same plane that form a right angle.
point-slope form
The point-slope form of an equation of a line with slope m and containing the point (x1,y1)(x1,y1) is y−y1=m(x−x1).y−y1=m(x−x1).
range of a relation
The range of a relation is all the y-values in the ordered pairs of the relation.
relation
A relation is any set of ordered pairs,(x,y).(x,y). All the x-values in the ordered pairs together make up the domain. All the y-values in the ordered pairs together make up the range.
solution of a linear equation in two variables
An ordered pair (x,y)(x,y) is a solution of the linear equationAx+By=C,Ax+By=C, if the equation is a true statement when the x- and y-values of the ordered pair are substituted into the equation.
solution to a linear inequality
An ordered pair (x,y)(x,y) is a solution to a linear inequality if the inequality is true when we substitute the values of x and y.
standard form of a linear equation
A linear equation is in standard form when it is written Ax+By=C.Ax+By=C.
vertical line
A vertical line is the graph of an equation of the form x=a.x=a. The line passes through the x-axis at (a,0).(a,0).
PreviousNext
Order a print copy
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
Citation information

© Feb 9, 2022 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.