Constant of Proportionality, Slope, Direct Variation

Front

What is the constant of proportionality?

Back

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

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be expressed as a constant ratio between two quantities, meaning as one quantity changes, the other changes at a constant rate.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx.

Front

How can you identify a proportional relationship from a table?

Back

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

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y and x are the two proportional quantities.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).