6.6C - Multiple Representations

Front

What is the equation of a line that represents a direct proportional relationship?

Back

y = kx, where k is a constant.

Front

How do you determine the cost of purchasing multiple items at a constant price?

Back

Use the equation y = px, where y is the total cost, p is the price per item, and x is the number of items.

Front

What is an additive relationship in a graph?

Back

An additive relationship is when the change in the dependent variable is constant for equal changes in the independent variable.

Front

What are independent values in a dataset?

Back

Independent values are the input values (often represented as x) that can be controlled or changed.

Front

How can you identify the equation that matches a given table of values?

Back

Look for a consistent pattern in the ratios of the dependent variable to the independent variable.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented as (0, b) in the equation y = mx + b.

Front

How can you graph a linear equation?

Back

Plot the y-intercept on the graph, then use the slope to find another point, and draw a line through the points.

Front

What is the difference between dependent and independent variables?

Back

The independent variable is manipulated or changed, while the dependent variable is measured or observed.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the graph of the relationship forms a straight line.