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Pre-Algebra Ch 9
Pre-Algebra Ch 9 vocabulary
| Term | Definition |
|---|---|
| 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 variable |
| direct variation | a special type of linear equation that describes rate of change. A relationship such that as x increases in value, y increases or decreases at a constant rate |
| function | a function is a special relation in which each element of the domain is paired with exactly one element in the range |
| function notation | a way to name a function that is defined by an equation. In function notation, the equation y = 3x - 8 us written as 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 of 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, the 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 |