Linear Equations

The slope is 2/3.

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope refers to the steepness of the line, calculated as the rise over run (change in y over change in x).

To find the y-intercept, set x = 0 in the equation and solve for y.

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The slope-intercept form is y = -2/3x + 2.

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

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

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

Two lines are parallel if they have the same slope but different y-intercepts.