Constant of Proportionality and Slope

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the ratio of the rise (change in y) to the run (change in x).

Front

How is slope calculated?

Back

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line represented by the equation y = 2x + 3 is 2.

Front

If a graph passes through the origin and has a slope of 4, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio of the two quantities does not remain constant.

Front

Identify the slope in the equation y = mx + b.

Back

In the equation y = mx + b, m represents the slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.