Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = y/x.

Tags

CCSS.7.RP.A.2B

Front

What does the origin (0, 0) represent in a graph?

Back

The origin (0, 0) is the point where the x-axis and y-axis intersect, representing zero values for both variables.

Tags

CCSS.6.NS.C.6C

Front

What is the x-axis in a graph?

Back

The x-axis is the horizontal line in a graph that typically represents the independent variable.

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical line in a graph that typically represents the dependent variable.

Front

If the constant of proportionality is 10, what does this mean?

Back

It means that for every unit increase in x, y increases by 10 units.

Tags

CCSS.7.RP.A.2B

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Tags

CCSS.7.RP.A.2A

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if two quantities have the same constant of proportionality?

Back

It means that the two quantities increase or decrease at the same rate.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D