Complete each table of values. Write the results as ordered pairs. See Example 4. y+6=0 x

step 1 We have the equation, y plus 6 equals 0, and we wanted to complete the table where we know x is

Complete each table of values. Write the results as ordered...

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Key Concepts

Constant Functions

A constant function is one where the output value does not change regardless of the input value. It is represented by an equation where the dependent variable is equal to a constant, such as y = -6. This type of function yields a horizontal line when graphed, indicating that every ordered pair has the same y-value.

Linear Equations

A linear equation is an equation that forms a straight line when graphed on a coordinate system. It usually involves a constant rate of change (slope) between the independent and dependent variables and is typically expressed in forms like y = mx + b. In this context, the equation simplifies to a constant value.

Table of Values

A table of values is a method of organizing input and corresponding output values of a function or equation. It helps in systematically displaying how changes in the independent variable affect the dependent variable, which is useful for graphing or analysis of the relationship between the variables.

Ordered Pairs

Ordered pairs are a way of representing two related quantities, typically written in the form (x, y). They are used to show the input from one set (usually the x-values) and the corresponding output from another set (usually the y-values), making them essential in graphing functions or relations.

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