Key Terms
- boundary line
- The line with equation is the boundary line that separates the region where from the region where
- 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 The line passes through the y-axis at
- 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 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: or 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, 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 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 is
- 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, 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 is a solution of the linear equation 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 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
- vertical line
- A vertical line is the graph of an equation of the form The line passes through the x-axis at