1.Finding the solution to a system of linear equations can be found using cartesian coordinates. 2. Graph a circle and you can find the radius using cartesian coordinates.
The Cartesian plane has a point known as the Origin and all distances are measured from there. There are two lines through the origin which are called the x and y axes. The x-axis is a horizontal number line with the Origin at 0 and positive values to the right. The y-axis is a vertical number line with the Origin at 0 and positive values going up the page. The x coordinate of any point is found by drawing a line perpendicular to the x axis from the point. It meets the x axis at the x-coordinate. Similarly, a line perpendicular to the y axis from the point identifies the y-coordinate.
:planeWhat it looks like: The Cartesian coordinate plane is a vertical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counterclockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount of points in the first number of the coordinate (x) on the x axis, and then the second on the y. For example, the coordinate (1,2) would be one space to the right and two up.What it's used for: You use the coordinate plane to graph points, lines (a collection of consecutive points), or functions (an equation leading to a set of points or a set of points both of which don't have the same x coordinate [basically, if you run a vertical line through whatever shape or collection of points you have, and it doesn't touch any two points at the same time, it's a function.])
The coordinate of a point in 1-Dimensional space will remain unchanged through such a reflection.
The Cartesian plane is usually divided into four parts by two perpendicular axes. Each part is called a quadrant. The quadrants are numbered 1 through 4 starting at the upper right and moving counter-clockwise.
There is the y- axis which runs vertically through the plane; there is the x axis which runs horizontally through the plane; there is the origin, point (0,0), which is where the two axis meet; there are the quadrants which are the fourths of the plane made by the axis. The quadrants are labeled I, II, III, and IV, starting with one in the upper left corner and increasing counter clockwise. Here's a URL for a picture of it. http://miniurl.com/6307
Rene Descartes used the Cartesian coordinate system for algebraic equations. Through the system he was able to give a visual representation of the equations.
It appears that the point has only one coordinate: 310. In two dimensional space, such as the coordinate (or Cartesian) plane, a point needs two coordinates.
The Cartesian plane has a point known as the Origin and all distances are measured from there. There are two lines through the origin which are called the x and y axes. The x-axis is a horizontal number line with the Origin at 0 and positive values to the right. The y-axis is a vertical number line with the Origin at 0 and positive values going up the page. The x coordinate of any point is found by drawing a line perpendicular to the x axis from the point. It meets the x axis at the x-coordinate. Similarly, a line perpendicular to the y axis from the point identifies the y-coordinate.
A system for identifying points on a plane or in space by their coordinates is called a Cartesian coordinate system.In a plane (2-dimensional), the Cartesian coordinate system is determined by the two perpendicular directed lines Ox as x-axis, and Oy as y-axis (where the point of intersection O is the origin) and the given unit length.For any point P in the plane, let M and Nbe points on the x-axis and y-axis such that PM is parallel to y-axis and PN is parallel to x-axis. If OM = x and ON = y, then (x, y) are the coordinates of the point P in this Cartesian coordinate system.Normally, Ox and Oy are chosen so that an an anticlockwise rotation of one right angle takes the positive x-direction to the positive y-direction.In 3-dimensional space, the Cartesian coordinate system is determined by the three mutually perpendicular directed lines Ox as x-axis, and Oy as y-axis,and OZ as z-axis (where the point of intersection O is the origin).For any point P in a space, let L be the point where the plane through P, parallel to the plane containing the y-axis and z-axis, meets the x-axis. Alternatively, L is the point on the x-axis such that PL is perpendicular to the x-axis. Let M and N be points on the y-axis and z-axis. The points L, M, and N are in fact three of vertixes of the cuboid with three of its edges along the coordinate axes and with O and P as opposite vertixes. If OL = x and OM = y, and ON = z, then (x, y, z) are the coordinates of the point P in this Cartesian coordinate system.
The cartesian coordinate plane is a virtical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counter clockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount f points in the first number of the coordinate (x) on the x axis, and then the second on the y. for example the coordinate (1,2) would be one space to the right and two up. Here's a URL for a picture of it.http://miniurl.com/6307
A rotation turns a shape through an angle around a fixed point usually on the Cartesian plane
What it looks like: The cartesian coordinate plane is a virtical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counter clockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount f points in the first number of the coordinate (x) on the x axis, and then the second on the y. for example the coordinate (1,2) would be one space to the right and two up. Here's a URL for a picture of it.http://miniurl.com/6307What it's used for: You use the coordinate plane to graph points, line (a collection of consxutive points), or a functions (an eqaution leading to a set of points or a set of points both of which don't have the same x coordinate [basically, if you run a vertical line through whatever shape or collection of points you have, and it doesn't touch any two points at the same time, it's a function.])
:planeWhat it looks like: The Cartesian coordinate plane is a vertical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counterclockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount of points in the first number of the coordinate (x) on the x axis, and then the second on the y. For example, the coordinate (1,2) would be one space to the right and two up.What it's used for: You use the coordinate plane to graph points, lines (a collection of consecutive points), or functions (an equation leading to a set of points or a set of points both of which don't have the same x coordinate [basically, if you run a vertical line through whatever shape or collection of points you have, and it doesn't touch any two points at the same time, it's a function.])
Rene Descartes invented the Cartesian coordinate system and the idea of the x-y axis. He used the coordinate system to express equations and formulas visually through slopes and lines. He created a slope for the equation, rather than the equation for a slope.
:planeWhat it looks like: The Cartesian coordinate plane is a vertical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counterclockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount of points in the first number of the coordinate (x) on the x axis, and then the second on the y. For example, the coordinate (1,2) would be one space to the right and two up.What it's used for: You use the coordinate plane to graph points, lines (a collection of consecutive points), or functions (an equation leading to a set of points or a set of points both of which don't have the same x coordinate [basically, if you run a vertical line through whatever shape or collection of points you have, and it doesn't touch any two points at the same time, it's a function.])
The coordinate of a point in 1-Dimensional space will remain unchanged through such a reflection.
It works out that the circle's centre is at (3, -2) and its radius is 5 on the Cartesian plane.