Proportional Relationships and Equations

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 quantity is constant.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality is the value 'k' that represents the ratio of y to x.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

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

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

If y = 5x, what is the value of y when x = 3?

Back

When x = 3, y = 5 * 3 = 15.

Front

What does the coordinate (1,6) indicate in a proportional relationship?

Back

The coordinate (1,6) indicates that when x = 1, y = 6, showing the relationship between the two variables.

Front

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

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

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 ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality for the equation y = 14x?

Back

The constant of proportionality is 14.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which is the constant of proportionality in a proportional relationship.