Constant of Proportionality from Graphs and Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

Write the equation for the table given: If y = 8 when x = 1, what is the equation?

Back

y = 8x

Front

Determine the constant of proportionality for the table: If y = 2 when x = 1, what is the equation?

Back

y = 2x

Front

Which graph represents a proportional relationship?

Back

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

Front

If the constant of proportionality is 1/3, what is the equation?

Back

y = (1/3)x

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if one quantity is a constant multiple of another quantity.

Front

If y = 12 when x = 3, what is the constant of proportionality?

Back

k = 4, because y = 4x.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values.

Front

What is the equation for a proportional relationship if k = 2?

Back

y = 2x

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

The relationship is proportional.