Algebra A Math: More Linear Equations in Two Variables


In this series, the student learns about intercepts, perpendicular and parallel lines, and verifying whether a given point satisfies a linear equation. This series of four lessons is used to develop the understanding of the student on the theory behind linear equations in two variables. The student learns that two different lines with the same slope are parallel and they learn the necessary conditions to make lines perpendicular.

The lessons in this series present the student with more advanced concepts on linear equations in two variables. The student learns important concepts that can aid them in real world topics.


Intercepts

In this lesson, the student is introduced to the idea of x- and y-intercepts. They are first shown how to find the x- and y-intercepts of a graph. Afterwards, they see how to find the x- and y-intercepts of a linear equation in two variables.


Parallel Linear Equations

This lesson introduces the student to the idea that parallel lines always have equal slopes. The student learns to determine whether two linear equations in two variables will be parallel by determining the slope of the lines in question.


Perpendicular Linear Equations

In this lesson, the student learns the definition of perpendicular lines. The student also learns how to determine whether two equations will result in perpendicular lines.


Verifying Solutions to Linear Equations

The student will learn to determine if a given point is a solution to a given linear equation in this lesson. The student is shown examples where, given a point and a line, they determine whether the point will occur on the line without the use of a graph.



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