GVMS Math 7 Weekly Flashcardizz #16 2024-25

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio or unit rate in a proportional relationship, often represented as 'k'. It indicates how one quantity changes in relation to another.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio, meaning as one quantity increases or decreases, the other does so at a consistent rate.

Front

How do you determine the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity. If the ratio is constant, that value is 'k'.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It indicates how much y changes for a unit change in x.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line passes through the origin (0,0) and is straight.

Front

What is the formula for calculating slope?

Back

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