Proportional Relationships & Slope

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

How can you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

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

Back

A non-proportional table has varying ratios between corresponding values, meaning they do not maintain a constant ratio.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

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).

Front

What is the formula for 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 the constant of proportionality represent in an equation?

Back

The constant of proportionality represents the ratio between the two variables in a proportional relationship, often denoted as k in the equation y = kx.

Front

In the equation y = 14x, what does the number 14 represent?

Back

In the equation y = 14x, the number 14 is the constant of proportionality, indicating that for every unit increase in x, y increases by 14.

Front

What is the 'rise' in the context of slope?

Back

The 'rise' refers to the vertical change between two points on a line.

Front

What is the 'run' in the context of slope?

Back

The 'run' refers to the horizontal change between two points on a line.