Linear Relationships

Front

What is a linear relationship?

Back

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

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that as one quantity changes, the other quantity changes at a constant rate, and the graph passes through the origin.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is a constant.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented as 'b' in the equation y = mx + b.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that the relationship is not proportional.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship will have a constant ratio between the values of y and x.

Front

What is the difference between y = mx and y = mx + b?

Back

y = mx represents a proportional relationship, while y = mx + b includes a y-intercept, indicating a non-proportional relationship.

Front

What does the term 'constant of proportionality' mean?

Back

The constant of proportionality is the constant 'k' in the equation y = kx, representing the ratio of y to x.

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 3x + 2.