6.6C - Multiple Representations

y = kx, where k is a constant.

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

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

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

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

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

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

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

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

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