The Corner of a Region
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 48 of 64.
The two boundary lines meet at a corner of their overlap region. Find that corner by solving the boundary equations together. For y = x - 1 and y = -x + 3, set x - 1 = -x + 3 to get x = 2, then y = 1.
For these two inequalities, the intersection of the boundaries is included only if both boundaries are solid. With more inequalities, test each candidate intersection against every inequality. Some intersections may lie outside the solution region and therefore do not form its corners.
Challenge
MediumA shaded region is drawn. Place the corner where its two boundary lines cross.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
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