Equations of Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the general form of the equation for a proportional relationship?

Back

The general form is y = kx, where k is the constant of proportionality.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

How do 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

What does the slope of a line represent in a proportional relationship?

Back

The slope represents the constant of proportionality between the two variables.

Front

Write the equation for a proportional relationship where y increases by 3 for every increase of 1 in x.

Back

y = 3x.

Front

Back

y will also be multiplied by 3, resulting in y = 2.

Front

What is the equation for a proportional relationship if 10 cups of flour are needed for 5 batches of cookies?

Back

y = 2x, where y is the cups of flour and x is the number of batches.

Front

How can you graph a proportional relationship?

Back

You can graph it by plotting points that satisfy the equation y = kx and drawing a straight line through the origin.

Front

What is the significance of the point (0,0) in a proportional relationship?

Back

The point (0,0) indicates that when x is 0, y is also 0, which is a characteristic of proportional relationships.