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Chapter 9 Linear Functions 7th Accelerated Math
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Terms in this set (19)
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.
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