Graphs- Proportional or Not Proportional

Front

Does the graph represent a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What is the ordered pair (0,0) also known as?

Back

The ordered pair (0,0) is known as the origin.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it shows a constant ratio between the x and y values, meaning it forms a straight line through the origin.

Front

What does it mean if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or does not maintain a constant ratio between the x and y values.

Front

How can you tell if a graph is proportional?

Back

You can tell if a graph is proportional by checking if it passes through the origin and if the line is straight.

Front

What is a key characteristic of proportional relationships?

Back

A key characteristic of proportional relationships is that they can be represented by the equation y = kx, where k is a constant.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is the constant ratio of y to x, represented as k in the equation y = kx.

Front

If a graph does not pass through the origin, what can you conclude?

Back

If a graph does not pass through the origin, it is non-proportional.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the cost of a phone plan that has a fixed monthly fee plus a charge per minute.