FAST and CURIOUS: Proportional Relationshipsships

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 does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you find the rate of change from a graph?

Back

The rate of change is found by calculating the slope of the line, which is the change in y divided by the change in x.

Front

What indicates that a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

How can you determine the y-intercept from a table of values?

Back

The y-intercept can be determined by finding the value of y when x is 0 in the table.

Front

What is the significance of a y-intercept of (0,3)?

Back

A y-intercept of (0,3) means that when x is 0, the value of y is 3.

Front

What is the difference between a proportional and a non-proportional relationship?

Back

A proportional relationship has a constant ratio and passes through the origin, while a non-proportional relationship does not.

Front

How do you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and using the slope formula to calculate the rise over run.