Draw From Any Form
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 21 of 64.
A drawing request may arrive in any costume. To draw x + 2y = 4, first undress it: 2y = -x + 4, so y = -1/2x + 2. Now it is instructions again: cross at (0, 2), fall half a step per step right.
Rearranging before drawing beats hunting for points, because the form hands over the two facts a drawing needs, the crossing and the climb, in one motion. The algebra of the last lesson is the pencil of this one.
Challenge
Rearrange 2x + 4y = 4 in your head, then draw the line.
Try it yourself
Draw the graph
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Graphs & Systems
1The Coordinate Plane
Two Numbers, One PointThe Four QuadrantsPoints on the AxesMirror PointsRecap: The Plane4Slope-Intercept Form
y = mx + bThe Starting HeightWrite the EquationSolve for yDraw From Any FormRecap: y = mx + b7Parallel & Perpendicular
Same Slope, Never MeetThe Perpendicular SlopeA Right-Angle LineRecap: Two Relations2From Rule to Line
A Rule Makes PointsThe Points Line UpOn the Line or Not?Between the DotsRecap: Rule to Line