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This course derives the distance between a point and a line using an algebraic method. It converts the line to slope-intercept form, finds the perpendicular line and intersection through a linear system, then simplifies the distance formula.
Syllabus
Introduction
Sketch of setting up a perpendicular line segment
Placing the line in slope-intercept form
Finding the perpendicular line
Finding x_2
Finding y_2
Setting up the distance formula
Simplifying x_2 - x_1^2
Simplifying y_2 - y_1^2
Final steps
Taught by
GreeneMath.com