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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 non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

Identify the equation that represents a proportional relationship: y = 6x, y = 3x + 2.

Back

y = 6x is proportional because it can be expressed as y = kx, where k is a constant.

Front

What does a positive y-intercept indicate in a linear equation?

Back

A positive y-intercept indicates that the line crosses the y-axis above the origin, meaning the value of y is positive when x is zero.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What is the slope in a linear equation?

Back

The slope (m) in a linear equation represents the rate of change of y with respect to x.

Front

What does it mean if a relationship is described as 'linear'?

Back

A linear relationship means that the relationship between the variables can be represented by a straight line on a graph.

Front

Provide an example of a non-proportional relationship.

Back

An example of a non-proportional relationship is y = 2x + 3, where the y-intercept is not zero.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero, indicating that when x is zero, y is also zero.