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The rectangular coordinate system consists of two real number lines that intersect at a right angle. The horizontal number line is called the x -axis, and the vertical number line is called the y -axis. These two number lines define a flat surface called a plane, and each point on this plane is associated with an ordered pair of real numbers (x ...
Mar 10, 2024 · Figure 4.1.1 4.1. 1: ‘Quadrant’ has the root ‘quad,’ which means ‘four.’. In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...
- Plotting Points in a Rectangular Coordinate System. Plot the points ( −2,4 ), ( −2,4 ), ( 3,3 ), ( 3,3 ), and ( 0,−3 ) ( 0,−3 ) in the plane. Solution.
- Graphing an Equation in Two Variables by Plotting Points. Graph the equation y=−x+2 y=−x+2 by plotting points. Solution. First, we construct a table similar to Table 2.
- Using a Graphing Utility to Graph an Equation. Use a graphing utility to graph the equation: y=− 2 3 x+ 4 3 . y=− 2 3 x+ 4 3 . Solution. Enter the equation in the y= function of the calculator.
- Finding the Intercepts of the Given Equation. Find the intercepts of the equation y=−3x−4. y=−3x−4. Then sketch the graph using only the intercepts.
Learn how to use the rectangular coordinate system to plot points, lines, and circles on a graph. This web page has a glitch and may not load properly.
Learn how to identify and plot points on the Cartesian plane using ordered pairs. The web page explains the basic elements of the coordinate system, such as axes, quadrants, and origin, with examples and exercises.
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Learn how to use the rectangular coordinate system to plot points, lines, and circles on a graph. This chapter from OpenStax covers the basics of coordinates, distance, midpoint, and slope.
