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 the Y-intercept represent in a linear equation?

Back

The Y-intercept is the point where the line crosses the Y-axis, indicating the value of Y when X is 0.

Front

What is the origin in a coordinate system?

Back

The origin is the point (0,0) where the X-axis and Y-axis intersect.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant.

Front

How do you identify the slope of a line?

Back

The slope of a line is calculated as the change in Y divided by the change in X (rise over run).

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in Y as X changes.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as X increases, Y decreases, resulting in a downward slanting line.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is typically written as Y = mx + b, where m is the slope and b is the Y-intercept.

Front

How can you determine if a table of values represents a linear relationship?

Back

If the differences between consecutive Y-values divided by the differences between consecutive X-values are constant, it represents a linear relationship.