Graph each equation. x - 4y = 8

Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The general form is Ax + By = C, where A, B, and C are constants. In the given equation, x - 4y = 8, it represents a straight line when graphed on a coordinate plane.

Graphing Linear Equations

Graphing a linear equation involves plotting points that satisfy the equation on a Cartesian plane. To graph x - 4y = 8, one can rearrange it into slope-intercept form (y = mx + b) or find intercepts. The slope indicates the steepness of the line, while the y-intercept shows where the line crosses the y-axis.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope and b represents the y-intercept. This form is useful for quickly identifying the line's steepness and where it intersects the y-axis. Converting the given equation into this form can simplify the graphing process.