How to Write Linear Equations Given a Point and Slope

The Organic Chemistry Tutor

This instructional video provides a step-by-step tutorial on how to write the equation of a line given a specific point and the slope. The narrator guides viewers through two distinct examples, demonstrating algebraic techniques to solve for the y-intercept and construct the final equation. The video emphasizes procedural fluency, showing students how to handle fractions and negative numbers within linear equations. The content covers three major forms of linear equations: Slope-Intercept Form ($y=mx+b$), Standard Form ($Ax+By=C$), and Point-Slope Form ($y-y_1=m(x-x_1)$). It explicitly teaches how to convert between these forms, providing a comprehensive view of how the same line can be represented in multiple ways. The narrator uses a digital blackboard approach, writing out each step clearly while explaining the logic behind the algebraic manipulations. For educators, this video serves as an excellent resource for Algebra I units on linear functions. It is particularly useful for differentiating instruction, as it breaks down the complex process of algebraic manipulation into manageable steps. Teachers can use this video to reinforce direct instruction, support students who struggle with fraction operations in algebra, or as a review tool for converting linear equation forms.