Finding Perpendicular Line Equations Using Negative Reciprocals

Question:
Write the equation of the line that passes through the point negative 3 comma 2 and is perpendicular to y equals 2x plus 6. Express your answer in slope-intercept form.

Finding Perpendicular Line Equations Using Negative Reciprocals

This lesson covers how to write the equation of a line perpendicular to a given line through a specific point. Students learn to find the negative reciprocal slope, apply point-slope form, and convert to slope-intercept form.

In this lesson, you will learn to:
• Identify the slope of a line written in slope-intercept form
• Calculate the negative reciprocal slope for a perpendicular line
• Apply point-slope form to write a line through a given point
• Verify perpendicularity by confirming the product of the slopes equals −1

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 4- Writing Linear Functions
Level: Grade 9

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