Constant of Proportionality Graphs

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

What characteristics does a proportional graph have? (SELECT ALL THAT APPLY)

Back

1. Be a straight line 2. Go through the origin 3. Increase by a constant rate

Front

Write the equation of a proportional relationship given the constant of proportionality k = 6.

Back

y = 6x

Front

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

Back

The constant of proportionality can be determined by finding the ratio of y to x for any point on the line, which should be constant.

Front

What is the equation of a line with a constant of proportionality of 2?

Back

y = 2x

Front

If y = 40 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 40.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

Identify the constant of proportionality in the equation y = 5x.

Back

The constant of proportionality is 5.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality.

Front

If a proportional relationship has a constant of proportionality of 20, what is the value of y when x = 3?

Back

y = 20 * 3 = 60.