Proportional vs Linear Relationships - Assessment

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 is a linear relationship?

Back

A linear relationship is a relationship that can be represented by a straight line on a graph, where the change in one variable is consistent with the change in another.

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, the ratios of the corresponding values are not constant.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

Which of the following equations represents a proportional relationship: y = 2x or y = x + 5?

Back

y = 2x represents a proportional relationship; y = x + 5 does not.

Front

What is the difference between proportional and non-proportional graphs?

Back

Proportional graphs pass through the origin and are straight lines, while non-proportional graphs do not pass through the origin or are not straight.

Front

How can you tell if a set of points represents a proportional relationship?

Back

If the points form a straight line that passes through the origin, they represent a proportional relationship.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in the equation y = kx.