Proportionality in Graphs and Equations Review

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

How can you identify a proportional relationship in a table of values?

Back

A proportional relationship can be identified in a table of values if the ratio of y to x is the same for all pairs of values.

Front

What does it mean for a graph to be proportional?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from an equation?

Back

You find the constant of proportionality by identifying the coefficient of x in the equation y = kx.

Front

Which equation represents a proportional relationship?

Back

The equation 5x = y represents a proportional relationship because it can be rewritten in the form y = kx.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.

Front

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

Back

If the constant of proportionality is negative, the graph will still be a straight line, but it will slope downwards from left to right.

Front

Can a graph be proportional if it does not pass through the origin?

Back

No, a graph cannot be proportional if it does not pass through the origin.

Front

What is the relationship between x and y in the equation y = 3x?

Back

In the equation y = 3x, y is proportional to x with a constant of proportionality of 3.