Draw by Intercepts
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 30 of 64.
Two intercepts are two points, and two points draw the line. For x + 2y = 4: y = 0 gives (4, 0), x = 0 gives (0, 2), and the line through those two crossings is the whole graph. For standard form this is usually the fastest drawing route, no rearranging needed.
The route fails when both intercepts are the same point, the origin (then the line is some y = mx and a second point must come from any other substitution), and when one variable is missing, so the line crosses only one axis.
Challenge
MediumDraw 4x + 3y = 12 using its two intercepts.
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