Linear Relationships Flashcard 1

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. This means that if one quantity increases, the other quantity increases at a consistent rate.

Front

Do proportional relationships always pass through the origin?

Back

Yes, proportional relationships must go through the origin (0,0).

Front

What does 'm' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'm' represents the slope or the constant rate of change between the two variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k' in the equation y=kx.

Front

How do you find the slope of a line?

Back

The slope of a line can be found by taking the change in y (rise) divided by the change in x (run) between two points on the line.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It represents how much of one quantity corresponds to one unit of another quantity.

Front

If Sally earns $30 for every 5 hours she babysits, what is her hourly rate?

Back

Sally's hourly rate is $6 per hour.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

What is the difference between a proportional relationship and a linear relationship?

Back

A proportional relationship is a specific type of linear relationship that passes through the origin, while a linear relationship may not.

Front

What does the term 'constant rate of change' mean?

Back

The constant rate of change refers to the consistent amount that one quantity changes in relation to another quantity.