Multiple Representations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, indicating the value of y when x is zero.

Front

What does it mean if an equation has a constant value?

Back

If an equation has a constant value, it indicates that the relationship is non-proportional.

Front

How can you tell if a relationship is proportional based on a scenario?

Back

A relationship is proportional if, when one quantity is zero, the other quantity is also zero.

Front

What is the equation of a line that passes through the origin?

Back

The equation of a line that passes through the origin can be expressed as y = mx, where m is the slope.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the rate of change between the two quantities in a proportional relationship.

Front

How do you identify the equation of a line from a graph?

Back

To identify the equation, determine the slope and y-intercept from the graph.

Front

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change between two variables.