In mathematics, the slope-intercept form of a linear equation is written as y = mx + b, where “m” represents the slope and “b” represents the y-intercept. Converting a linear equation from slope-intercept form to standard form (Ax + By = C) is often useful for various mathematical operations and applications. Here’s a step-by-step guide:
Converting to standard form allows for easier manipulation of equations, such as finding x- or y-intercepts, calculating the slope, and graphing the line. It is also essential for solving systems of linear equations and performing other algebraic operations.