Same Slope, Never Meet
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 33 of 64.
Two lines with the same slope climb in step, so the gap between them never changes: they are parallel. y = 2x - 1 and y = 2x + 3 run four apart forever.
Same slope, constant gap: parallel lines
So parallel is a statement about m alone: same slope, different intercept. Two equations with the same slope AND the same intercept are not parallel; they are the same line written twice.
Challenge
The line y = -x - 2 is drawn. Draw the line parallel to it through (0, 2).
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