Constant of Proportionality and Slope

Front

What is the constant of proportionality?

Back

Front

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

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values. If the ratio is constant for all pairs, that ratio is the constant of proportionality (k).

Front

What is the slope of a line?

Back

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes. This represents a constant value.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases. This means the line is slanting downwards from left to right.

Front

What is the equation of a proportional relationship?

Back

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0). The slope of this line represents the constant of proportionality.

Front

What is the formula to calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Front

What is the relationship between slope and constant of proportionality?

Back

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality (k) is greater than 1, it indicates that y increases faster than x, resulting in a steep slope.