Proportional Equations

Front

What is a proportional equation?

Back

A proportional equation is an equation that shows a constant ratio between two variables, typically in the form y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the factor by which one variable is multiplied to obtain the other variable in a proportional relationship.

Front

If y = 10x, what is the constant of proportionality?

Back

The constant of proportionality is 10.

Front

Is the equation y = 14x proportional?

Back

Yes, it is proportional because it can be expressed in the form y = kx.

Front

Which of the following equations is NOT proportional: y = 5x, y = 2.5x, y = x + 3, y = 1/2x?

Back

y = x + 3 is NOT proportional because it does not have a constant ratio.

Front

What is the general form of a proportional equation?

Back

The general form of a proportional equation is y = kx.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

If the equation is y = 3x, what is the value of y when x = 4?

Back

y = 3 * 4 = 12.

Front

What does it mean if an equation has a y-intercept other than zero?

Back

If an equation has a y-intercept other than zero, it indicates a non-proportional relationship.

Front

Can the equation y = 0.5x be considered proportional?

Back

Yes, it is proportional because it can be expressed in the form y = kx.