Polar Form of a Line - Graphing Lines on the Polar Grid

Learn how to convert linear equations between rectangular and polar forms, and master the techniques for graphing lines on a polar grid in this comprehensive 30-minute video lesson. Explore the fundamental formulas connecting rectangular and polar coordinates, and practice converting equations in both directions. Discover strategies for graphing various types of lines on the polar grid, including horizontal and vertical lines. Work through multiple examples to reinforce your understanding of these important concepts in coordinate geometry and graphing.

Syllabus

Introduction.
Formulas for x = r cos θ, y = r sin θ .
Standard form of a line to polar form.
Converting a line to polar form #1.
Graphing a line on the polar grid #1.
Converting a line to polar form #2.
Graphing a line on the polar grid #2.
Converting a line from polar to rectangular #1.
Graphing a line on the polar grid #3.
Converting a line from polar to rectangular #2.
Graphing a line on the polar grid #4.
Horizontal and vertical lines in polar form.
Graphing a horizontal line on the polar grid.
Graphing a vertical line on the polar grid.