Unicorn - Proportional vs. Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. If one quantity increases, the other increases at the same rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

Identify if the following is proportional or non-proportional: The cost of renting a video game is $15 plus $3 per day.

Back

Non-Proportional.

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.

Front

Calculate the slope of the line passing through (10, 1) and (5, 2).

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change while the y-value changes.

Front

Does the equation y = 2x show a proportional relationship?

Back

Yes, it shows a proportional relationship because it can be expressed as y = kx, where k is a constant.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

Identify if the following is proportional or non-proportional: A table shows values where the y-intercept is 6.

Back

Non-proportional, y-intercept is 6.