Downhill Lines
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 13 of 64.
A negative slope is a downhill line: each step right goes down instead of up. y = -2x + 4 falls two for every step right; the minus in the slope is the fall.
Slope -2 falls as fast as slope 2 climbs
Steepness and direction are separate readings: the size of the slope is the steepness, its sign is the direction. Slopes 2 and -2 are equally steep, one uphill, one downhill, and a slope near 0 is nearly flat either way.
Challenge
Draw the line with slope -2 that passes through (0, 5).
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