Math 7B, Lesson 1, Spring 2022, 1/30/2022

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Chapter 10 Coordinates and Linear Graphs

10.1 Cartesian Coordinate System

1. Terminologies: x-axis, y-axis, coordinate axes, origin, first, second, third, and fourth quadrants. The coordinate plane, Cartesian plane, or x-y plane. 

The position of any point, say P, on the plane can be described by an ordered pair (a, b) of real numbers. We obtain the value of a when the vertical line through P intersects the x-axis and the value of b when the horizontal line through P intercepts the y-axis. We call a the x-coordinate and b the y-coordinate of P. We say that P has coordinates (a, b) and refer the point P as P(a, b). Hence, we can locate a point in a plane if we know its x- and y- coordinates.

2. Lots of exercise of stating the coordinates of points in a diagram, and plotting points with coordinates on a coordinate plane.

3. Home Work

  • Handout: 2 pages
  • Workbook: 

                     page 9: 1, 2

                     page 10: 3

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