Solving Systems of Linear Equations by Graphing: Finding Intersection Points

Dec 25, 2025

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In this lesson, we will learn how to solve a system of linear equations by graphing on the coordinate plane. We'll focus on identifying the intersection point (x,y) of two lines to determine whether they are consistent and independent, consistent and dependent, or inconsistent. A consistent and independent system has lines that intersect at a single point, while a consistent and dependent system has lines that overlap completely. An inconsistent system consists of parallel lines that do not intersect.

stuart-smith

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Solving Systems of Linear Equations by Graphing: Finding Intersection Points

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3.1 Systems of Equations by Graphing Goal: Solve a system of linear equations by graphing on the coordinate plane and finding the intersection (x,y)
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2. 4x - 4y= -12
Definitions: Where do the lines intersect… Consistent & Independent: Two lines that intersect at a single point. Consistent & Dependent: Two lines that are graphed one onto the other. (Same Line = Infinitely Many) Inconsistent: Two lines that do not intersect (Parallel = No Solution)
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