Linear Relationships Big One

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

The slope of a line represents the rate of change between the two variables. It indicates how much the y-value changes for a one-unit change in the x-value.

Positive, Negative, Zero, Undefined.

Slope is calculated using the formula: Slope (m) = Rise / Run.

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

A positive slope indicates that as the x-value increases, the y-value also increases.

A negative slope indicates that as the x-value increases, the y-value decreases.

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

An undefined slope indicates a vertical line where the x-value remains constant regardless of the y-value.