Graph each equation. 3y = x

Key Concepts

Linear Equations

A linear equation is an algebraic expression that represents a straight line when graphed on a coordinate plane. It typically takes the form y = mx + b, where m is the slope and b is the y-intercept. Understanding linear equations is essential for graphing, as it allows one to identify the relationship between the variables involved.

Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as y = mx + b, where m represents the slope of the line and b represents the y-intercept. This form is particularly useful for quickly identifying how steep the line is and where it crosses the y-axis, facilitating easier graphing of the equation.

Graphing Techniques

Graphing techniques involve methods for accurately plotting equations on a coordinate plane. For linear equations, one can find key points such as the y-intercept and use the slope to determine additional points. Mastery of these techniques is crucial for visualizing mathematical relationships and interpreting the behavior of functions.