How to Graph Linear Equations in Point-Slope Form

The Organic Chemistry Tutor

A clear, step-by-step tutorial on how to graph linear equations given in point-slope form. The video guides viewers through extracting the slope and a specific coordinate point directly from the equation, addressing the common confusion regarding positive and negative signs. It uses visual aids on a coordinate plane to demonstrate the "rise over run" technique for plotting subsequent points. The content focuses on two distinct examples: a standard equation with integer values and a more complex example involving fractions and sign changes. The narrator explicitly breaks down the structure of the point-slope formula ($y - y_1 = m(x - x_1)$), showing how to match it against a given problem to identify the necessary components for graphing without converting to slope-intercept form. This resource is highly valuable for Algebra students learning to graph lines. It offers a procedural approach that reinforces understanding of linear attributes. Teachers can use this video to introduce the concept, provide remediation for students struggling with sign conventions, or as a visual aid during a lesson on graphing shortcuts.