Is it Proportional?

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

How can you identify a proportional relationship from a graph?

Back

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

Front

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

Back

A non-proportional relationship means that the ratio between the two quantities is not constant, and the graph does not pass through the origin.

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

Back

The y-intercept indicates the value of y when x is zero; in a proportional relationship, the y-intercept is always zero.

Front

How does adding a constant affect the proportionality of a relationship?

Back

Adding a constant to a linear equation (e.g., y = kx + b where b ≠ 0) makes the relationship non-proportional.

Front

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

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

Front

What is the difference between direct and inverse proportionality?

Back

Direct proportionality means as one quantity increases, the other also increases; inverse proportionality means as one quantity increases, the other decreases.

Front

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

Back

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

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant ratio between the two quantities.