Intro to Linear Relationships

(x, y) - An ordered pair consists of two numbers, where 'x' is the first number (the x-coordinate) and 'y' is the second number (the y-coordinate).

Vertical - The y-axis is the vertical line on a graph that represents the values of the dependent variable.

The x-axis represents the horizontal line on a graph that typically shows the independent variable.

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 is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Slope (m) = (y2 - y1) / (x2 - x1).

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

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

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).