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 of the dependent variable (y) with respect to the independent variable (x).

The slope (m) is calculated using the formula: m = (rise) / (run), where rise is the change in y and run is the change in x.

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 slope of zero means that the line is horizontal, indicating no change in y as x changes.

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

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

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

'Rise' refers to the vertical change between two points on a line.