How to Convert Any Linear Equation into Standard Form

Miacademy & MiaPrep Learning Channel

This educational math video guides students through the process of converting linear equations into Standard Form (Ax + By = C). It begins by reviewing the three major forms of linear equations—Slope-Intercept, Point-Slope, and Standard Form—emphasizing that they are simply different ways to express the same relationship. The video outlines the specific rules for Standard Form: x and y must be on the same side, coefficients must be integers, and the leading coefficient A must be non-negative. The tutorial then walks through three progressive examples. First, it demonstrates converting a simple Slope-Intercept equation by moving terms and clearing fractions. Next, it tackles a Point-Slope equation involving parentheses, distribution, and sign changes. Finally, it presents a "complex" challenge problem that starts in no specific form and contains multiple fractions, showing students how to systematically clear denominators and arrange terms. This video is highly useful for Algebra 1 classrooms as it explicitly addresses common student sticking points, such as dealing with fractions and the requirement for integer coefficients. The step-by-step visual animations help break down algebraic manipulations, making it a strong resource for introducing the concept or for remediation. The friendly robot narrator and clear text overlays make the content accessible and engaging for middle and high school students.