![]() ![]() ![]() Also, note that the first number in the ordered pair is called the x ‐coordinate, or abscissa, and the second number is the y ‐coordinate, or ordinate. On the y‐axis, numbers above 0 are positive and below 0 are negative. Notice that on the x‐axis numbers to the right of 0 are positive and to the left of 0 are negative. Some coordinates are noted in Figure 2.įigure 2. The point of intersection of the two number lines is called the origin and is represented by the coordinates (0, 0).Įach point on a plane is located by a unique ordered pair of numbers called the coordinates. The other is vertical and is called the y ‐axis. One axis is horizontal and is called the x ‐axis. In coordinate graphs (see Figure 1), two perpendicular number lines are used and are called coordinate axes. These numbers represent the placement of the point relative to two intersecting lines. In the same way, each point in a plane is assigned a pair of numbers. Each point on a number line is assigned a number. Quiz: Linear Inequalities and Half-PlanesĬoordinate geometry deals with graphing (or plotting) and analyzing points, lines, and areas on the coordinate plane (coordinate graph).Solving Equations Containing Absolute Value.Inequalities Graphing and Absolute Value.Quiz: Operations with Algebraic Fractions. ![]() Quiz: Solving Systems of Equations (Simultaneous Equations).Solving Systems of Equations (Simultaneous Equations).Quiz: Variables and Algebraic Expressions.Quiz: Simplifying Fractions and Complex Fractions.Simplifying Fractions and Complex Fractions.Quiz: Signed Numbers (Positive Numbers and Negative Numbers).Signed Numbers (Positive Numbers and Negative Numbers).Quiz: Multiplying and Dividing Using Zero.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.With polar coordinates the angle starts along th x-axis and increases counter-clockwise (opposite to how closks go)īut with compass direction we start along the y-axis and go in the clockwise direction. So drawing a function graph on a computer screen can be confusing: if we want the bottom corner of the graph to be 300 px from the top of the screen, we have to use (x,300-y) to plot any point. Screen coordinates are very similar to cartesian coordinates, but the up-down direction starts at the top and goes down. Oh help me!Īnd we don't start at (0,0), we start at (1,1) Then the next thing we want to do is go up or down, and up seems better being positive, yes?īut matrices use a different system, we put the row number (which is the up-down direction) first, then the left-right direction. That seems natural as we write from the left to the right (possibly so right-handed people can more easily see what they have just written, also seems be true when chiselling!) There is a zero point and values increase to the right. Then there are polar coordinates, which use distance and angleīut the elements of a matrix also have coordinates, but they don't relate well to cartesian coordinates, sadly.Īnd when programming computer graphics the coordinates are different again! Cartesian CoordinatesĬartesian coordinates start with the concept of a number line The most common is cartesian coordinates, where we plot a point by how far along and up. There are many diiferent coordinates in the world! ![]()
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