8th Grade/Proportional Relationships

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 is constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the quantity of one variable by the quantity of the other variable.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.

Front

What does the slope represent in a proportional relationship?

Back

In a proportional relationship, the slope represents the constant rate of change between the two variables.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How can you identify a non-proportional relationship from an equation?

Back

A non-proportional relationship can be identified if the equation includes a constant term (e.g., y = mx + b, where b ≠ 0).

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.