Coordinate Point

Coordinate Point Coordinate Point A number pair which represents the location of a Point in two - dimensional space is known as coordinates of a point. Suppose we have Coordinate of a Point R (5, -9) then it defines the location of points.

Where ‘R’ is the name and the Numbers in the bracket is the ‘x’ and ‘y’ coordinates.

The first number or x – coordinate denotes how far the horizontal axis is and ycoordinates denote how long up and down the axis is. The x – axis or horizontal is also known as Abscissa of the points. The y – axis or vertical horizontal is also known as ‘ordinate’ of the points.

When we have two pairs in a plane and we want to find the Distance between two points then we can find the distance between two points.

Example 1 :- The diagram shows the line segment AB, where A = (2,4) and B = (8,9). What is the coordinate of the midpoint of the line segment?

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First find the x-coordinate midpoint. Do this by adding up the x coordinates and halving the answer: ½ of (2+8)= ½ of 10 = 5 Next find the midpoint of the y coordinates. This time half the total of the y coordinates: ½ of (4+9) = ½ of 13 = 6.5 So the midpoint of the line segment AB is (5,6.5).

Example 2 :- The diagram shows the line segment PQ, where P = (-5,-3) and Q = (7,8). What is the coordinate of the midpoint of the line segment?

First find the x-coordinate midpoint. Do this by adding up the x coordinates and halving the answer: ½ of (-5+7)= ½ of 2 = 1 Next find the midpoint of the y coordinates. This time half the total of the y coordinates: ½ of (-3+8) = ½ of 5 = 2.5 So the midpoint of the line segment AB is (1,2.5).

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Two coordinates A and B are plotted onto a grid. Point A is at (-3,-9) and point B is at (-1,5). The two points are joined together with a straight line. Write down the coordinate point of the middle of the line?

Just like the previous 2 examples, all the question is asking you to do is to work out the midpoint of the line segment AB. First find the x-coordinate midpoint. Do this by adding up the x coordinates and halving the answer: ½ of (-3+-1)= ½ of -4 = -2 Next find the midpoint of the y coordinates. This time half the total of the y coordinates: ½ of (-9+5) = ½ of -4 = -2 So the pint in the middle of A and B is (-2,-2).

So working out the midpoint of a line segment is quite a straight forward process. Just remember to find the average of the x and y coordinates.

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