6.6B, 6.6C, 6.11A - Algebraic Relationships and Coordinate Plane

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Front

What does the ordered pair (4, -6) represent on a coordinate plane?

Back

The ordered pair (4, -6) represents a point located 4 units to the right of the origin and 6 units down.

Front

What is an independent variable?

Back

An independent variable is a variable that is manipulated or changed in an experiment or equation, often represented on the x-axis.

Front

What is a dependent variable?

Back

A dependent variable is a variable that responds to changes in the independent variable, often represented on the y-axis.

Front

What is the relationship represented by the equation r = q + 10.1?

Back

This equation shows that the value of r increases by 10.1 for every unit increase in q.

Front

How do you identify independent values from a table?

Back

Independent values are typically the input values or the x-values in a relationship, which can be found in the first column of a table.

Front

What does the equation y = 74x represent in a real-world context?

Back

This equation can represent a situation where a company uses y gallons of water at a rate of 74 gallons per hour for x hours.

Front

What is the purpose of a table in representing relationships?

Back

A table organizes data to show the relationship between two variables, making it easier to identify patterns and trends.

Front

What is the significance of the x-axis in a coordinate plane?

Back

The x-axis is the horizontal line on a coordinate plane that represents the independent variable.

Front

What is the significance of the y-axis in a coordinate plane?

Back

The y-axis is the vertical line on a coordinate plane that represents the dependent variable.