Constant of Proportionality (Graph)

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = y/x.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope, indicating a constant ratio between the variables.

Front

If the constant of proportionality is 4, what is the relationship between x and y?

Back

If the constant of proportionality is 4, then for every unit increase in x, y increases by 4 units, represented by the equation y = 4x.

Front

What is the constant of proportionality if y = 50 when x = 1?

Back

The constant of proportionality is 50, as it represents the ratio of y to x (50/1 = 50).

Front

Is the graph of y = 5x proportional?

Back

Yes, the graph of y = 5x is proportional because it has a constant slope of 5 and passes through the origin.

Front

What is the constant of proportionality for the equation y = 25x?

Back

The constant of proportionality is 25, indicating that y increases by 25 units for every 1 unit increase in x.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if the slope is not constant.

Front

If a graph shows a constant increase in y for a constant increase in x, what can be inferred?

Back

It can be inferred that the relationship between x and y is proportional, and the constant of proportionality can be calculated.

Front

What is the formula to calculate the constant of proportionality?

Back

The formula to calculate the constant of proportionality is k = y/x.