Two Numbers, One Point
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 1 of 64.
Two number lines that cross at zero make the coordinate plane. The horizontal line is the x-axis and the vertical line is the y-axis. The point where they cross is the origin. A pair of numbers like (3, 2) names one point on the plane. These two numbers are called the coordinates of the point. The first number is the x-coordinate and the second number is the y-coordinate. To find the point (3, 2), start at the origin, go 3 units to the right along the x-axis, then go 2 units up.
The point (3, 2) is 3 to the right and 2 up
The order of the two numbers matters. (3, 2) and (2, 3) are two different points. A negative x-coordinate means you go left instead of right. A negative y-coordinate means you go down instead of up. For example, (-2, 3) is 2 to the left and 3 up. The pair (0, 0) is the origin itself, because you do not move at all.
Challenge
EasyPlace the points (4, 1) and (-2, 3) on the plane.
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
This 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