Finding Constant of Proportionality From a Graph

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality (k) is the constant ratio between two proportional quantities, often represented in the equation y = kx.

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.

Front

What is the equation of a line in terms of the Constant of Proportionality?

Back

The equation of a line in terms of the Constant of Proportionality is y = kx, where k is the constant.

Front

If a box of cereal costs $3.59 for 30 oz, what is the unit rate per ounce?

Back

The unit rate per ounce is 12 cents.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

What does a constant of proportionality of k = 46 indicate?

Back

A constant of proportionality of k = 46 indicates that for every unit increase in x, y increases by 46 units.

Front

How can you express a proportional relationship using a table?

Back

A proportional relationship can be expressed using a table by listing pairs of values (x, y) that maintain a constant ratio.

Front

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

Back

The slope of a line in a proportional relationship graph represents the Constant of Proportionality.

Front

How do you convert a proportional relationship into an equation?

Back

To convert a proportional relationship into an equation, identify the constant ratio and express it in the form y = kx.

Front

What is the relationship between unit rate and Constant of Proportionality?

Back

The unit rate is the Constant of Proportionality expressed as a ratio of y to x when x = 1.