19 terms

Constant of Variation

The slope, or rate of change, in the equation y=kx, represented by k.

Constant Rate of Change

The rate of change between any two data points in a linear relationship is the same or constant.

Dependent Variable

The variable in a relation with a value that depends on the value of the independent value.

Direct Variation

A special type of linear equation that describes rate of change. A relation such that as x increases in value, y increase or decreases at a constant rate.

Function

A function is a special relation in which each element of the domain(x) is paired with exactly one element in the range(y).

Function Notation

A way to name a function that is defined by an equation. In function notation, the equation y=3x-8 is written f(x)=3x-8.

Function Rule

The operation performed on the input of a function.

Function Table

A table organizing the input, rule, and output of a function.

Independent Variable

The variable in a function with a value that is subject to choice.

Linear Equation

An equation in which the variables appear in separate terms and neither variable contains an exponent other than 1. The graph of a linear equation is a straight line.

Linear Relationship

Relationship that has straight line graphs.

Rate of Change

A change in one quantity with respect to another quantity.

Slope

The ratio of the rise, or vertical change, to the run, or horizontal change. The slope describes the steepness of a line. Slope = Rise/Run

Slope-Intercept Form

A linear equation in the form y=mx+b, where m is the slope and b is the y-intercept.

Substitution

Use algebraic methods to find an exact solution of a system of equations.

System of Equations

A set of two or more equations with the same variables.

Vertical Line Test

If any vertical line drawn on the graph of a relation passes through no more than one point on the graph for each value of x in the domain, then the relation is a function.

X-Intercept

The x coordinate of a point where a graph crosses the x-axis.

Y-Intercept

The y coordinate of a point where a graph crosses the y-axis.