Points on the Axes
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 3 of 64.
A point with a zero coordinate lies on an axis. The point (4, 0) is 4 units to the right and 0 units up, so it lies on the x-axis. The point (0, -3) is 0 units sideways and 3 units down, so it lies on the y-axis. A point on an axis is not in any quadrant. It sits on the border between two quadrants.
A zero coordinate puts the point on an axis
You will use these points later, when you draw lines. Where a line crosses the x-axis, its y-coordinate is 0. Where a line crosses the y-axis, its x-coordinate is 0. So every point where a graph crosses an axis has a zero coordinate.
Challenge
EasyPlace the points (-5, 0) and (0, 2). Each one lies on an axis.
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