Equations: Constant of Proportionality

Front

What does k represent in the equation y = kx?

Back

constant of proportionality

Front

Write the equation for the proportional relationship in the table, using k as a simplified fraction.

Back

Front

Is the relationship proportional? If so, what is the equation for this table?

Back

y = 2x

Front

Is the relationship proportional? If so, what is the equation for this table?

Back

y = 3x

Front

Does the equation y = 2x represent a proportional relationship?

Back

Yes

Front

What is the definition of a proportional relationship?

Back

A relationship where the ratio of two variables is constant.

Front

How do you find the constant of proportionality (k) in the equation y = kx?

Back

k = y/x for any point (x, y) on the line.

Front

If y = 4 when x = 2, what is the constant of proportionality (k)?

Back

k = 2 (since k = 4/2).

Front

What is the equation of a proportional relationship if k = 3?

Back

y = 3x

Front

If the table shows (1, 2), (2, 4), (3, 6), is this relationship proportional?

Back

Yes, the equation is y = 2x.