The midpoint of the line connecting these points is M. Example 2: What is the x and y coordinates of the centroid of the triangle having its vertices as 2, 0 , 5, 2 , -1, 4? The x and y coordinates can be easily identified from the given point in the coordinate axes. For a point a, b , the first value is always the x coordinate, and the second value is always the y coordinate.
The x and y coordinates are written as x, y. Here the x and y values can have positive or negative values. The x value of the point is called abscissa, and the y value of the point is called ordinate. The values of x and y coordinates of a point in the four quadrants can be understood from the below points. Learn Practice Download.
X and Y Coordinates X and Y Coordinates help in identifying a point in the coordinate axes and is written as x, y. Let us learn more about x and y coordinates, their location, and their properties. In Quadrant I both x and y are positive, but Example: The point "A" 3,2 is 3 units along, and 2 units up.
Both x and y are positive, so that point is in "Quadrant I". Both x and y are negative, so that point is in "Quadrant III". Note: The word Quadrant comes form quad meaning four. For example, four babies born at one birth are called quadruplets , a four-legged animal is a quadruped. We need to know: left-right, up-down, and forward-backward, that is three numbers , or 3 dimensions!
The point 12,5 is 12 units along, and 5 units up. Play With It! Now is a good time to play with Interactive Cartesian Coordinates to see for yourself how it all works.
Quadrant X horizontal Y vertical Example I. The Number Line can only go: left-right so any position needs just one number. Cartesian coordinates can go: left-right, and up-down so any position needs two numbers.
How do we locate a spot in the real world such as the tip of your nose? Here the point 2, 4, 5 is shown in three-dimensional Cartesian coordinates. A point is named by its ordered pair of the form of x, y. The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you how many steps you have to take to the right positive or left negative on the x-axis.
And the y-coordinate tells you have many steps to move up positive or down negative on the y-axis. The ordered pair 3, 4 is found in the coordinate system when you move 3 steps to the right on the x-axis and 4 steps upwards on the y-axis.
The ordered pair -7, 1 is found in the coordinate system when you move 7 steps to the left on the x-axis and 1 step upwards on the y-axis. To find out the coordinates of a point in the coordinate system you do the opposite.
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