 Hello and welcome to the session. In this session we shall study the concept of finding and positioning, pairs of integers and other rational numbers on a coordinate plane. We already know the meaning of coordinate plane, pairs of coordinate plane and signs of numbers in order pairs and their location. And now we will learn how to graphically plot the order pairs on a coordinate plane. For this in the first step we will draw a horizontal line with the signs of arrows on both the ends on a graph paper and label it as x-axis. So we have drawn a horizontal line and label it as x-axis. Then in the second step we will draw a vertical line with the sign of arrows on both the ends intersecting at the center of this horizontal line perpendicularly, label it as y-axis. So we have drawn a vertical line that is the y-axis which is intersecting the x-axis at this point. And this point of intersection is called the origin whose coordinates are 00. Now we will write 0 at this point. We can call this point as the origin of the starting point. Now on the x-axis on the right side of 0 we will write the positive numbers that is 1, 2, 3, 4, 5 and so on. And on the left side of 0 we will write the negative numbers that is minus 1, minus 2, minus 3, minus 4 and so on. So like a number 9 we have written these numbers on this horizontal axis. Now on the y-axis we will write negative numbers below 0 that is minus 1, minus 2, minus 3 and so on. And we will write the positive numbers above 0 that is 1, 2, 3 and so on. Now for plotting any point we will start by putting our pencil on a region and then we will plot through it by moving to the left of a region if the number is negative and moving to the right of a region if the number is positive and the number tells how many units to move. Then on the next step we will plot the y-coordinate that is when we have reached to the x-coordinate then from that point we will move on to the y-coordinate by moving downwards if the number is negative and moving upwards if the number is positive. Now let us take the x-coordinate of a point as 3 and the y-coordinate of a point as 2. Now we will start from the region. Now x-coordinate is positive so we will move 3 units to the right of a region and we have reached on this point. Now from this point we will move upwards as y-coordinate is also positive reached to this point. So we will put a dot at this point and now we will leave this point as the point whose x-coordinate is 3 and y-coordinate is 2. Now let us see one more example in which we have to locate the point 2-3 on the graph. Now for locating this point a horizontal and a vertical axis whose point of intersection is called the region. Now we will write the numbers on the x-axis and on the y-axis as we have discussed earlier. Now here the x-coordinate is positive and y-coordinate is negative. So for locating this point on the graph we have to move on the x-axis and then downwards. So we will start from the region and then revenue. So we have reached at this point. Now from this point we will move 3 units downwards 1, 2 and 3 and we have reached at this point. So we will put a dot at this point. So this is the point whose x-coordinate is 2 and y-coordinate is minus 3. Now let us plot the point minus 3 is 0 on the graph. Now here the x-coordinate is minus 3, y-coordinate is 0. So again we will start from the origin. Now as the x-coordinate is minus 3 so we will move 3 units of origin and we have reached at this point. Then the y-coordinate is 0 so we do not move any unit up or down. So we will put a dot at this point and this is the point whose x-coordinate is minus 3 and y-coordinate is 0. To locate a point whose coordinates are 0, 2 on the graph from the region we do not move a right or left. That is we will stay at the origin and then since y-coordinate and we have reached at this point we will put a dot at this point and y-coordinate is 2. Now suppose if we have to plot a point whose x-coordinate is 1.5 and y-coordinate is 2 on the graph. Now we know the method of plotting a rational number like 1.5 on a number line we will follow the same procedure for plotting this number on this graph. Now here the x-coordinate is 1.5 which lies between 1 and 2 and y-coordinate is 2. Now for plotting this point on the graph we will start from the origin of 1.5 units to the right of origin and we have reached at this point. Now from this point we will move upwards and we will reach at this point so we will put a dot at this point. So this is the point whose x-coordinate is 1.5 and y-coordinate is 2. We have learnt the concept of finding and positioning pairs of integers and other rational numbers on a coordinate plane. And this completes our session. Hope you all have enjoyed the session.