Linear Relationships

Front

What is the origin on a graph?

Back

The origin is the point (0,0) where the x-axis and y-axis intersect.

Front

What does a linear relationship represent?

Back

A linear relationship represents a constant rate of change between two variables, often depicted as a straight line on a graph.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that relates two proportional quantities, often expressed as 'k' in the equation y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A relationship is proportional if the ratio of the values in one column to the values in another column is constant.

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not have a constant rate of change.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.