Finding Missing Coordinates in Linear Equations

Miacademy & MiaPrep Learning Channel

This instructional math video guides students through the process of finding a missing coordinate in an ordered pair given a linear equation. The narrator, Justin, demonstrates how to take a partial ordered pair (where either the x or y value is known) and use algebraic substitution to determine the missing value, effectively "completing" the solution. The video progresses from simple direct substitution problems to more complex equations involving variables on both sides. Key themes include algebraic substitution, simplifying expressions, solving linear equations, and verifying solutions. The video explicitly breaks down the process into three manageable steps: substitute the known variable, simplify the equation, and solve for the unknown variable. It also addresses potential pitfalls, such as handling negative coefficients and solving equations where the variable appears on both sides. This resource is highly valuable for Pre-Algebra and Algebra I classrooms as it bridges the gap between evaluating expressions and graphing linear functions. It reinforces the concept that an ordered pair represents a specific solution to an equation. Teachers can use this video to introduce the concept of function tables, prepare students for graphing lines by finding points, or as a review of solving multi-step equations in a new context.