Proportional Relationships (GRAPHS)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

How do you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does the slope of a line in a proportional relationship represent?

Back

The slope represents the constant of proportionality between the two variables.

Front

If the graph of a proportional relationship passes through the point (2, 8), what is the equation?

Back

The equation is y = 4x.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

How can you determine if two equations represent the same proportional relationship?

Back

You can determine this by checking if they have the same constant of proportionality.

Front

What is the equation for a line with a slope of 3?

Back

The equation can be written as y = 3x.

Front

If y = 10x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, demonstrating the proportional relationship.