# The Coordinate Plane

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A two dimensional coordinate plane is a surface on which there are two axis perpendicular to each other, the horizontal axis known as the X-axis and the vertical axis known as the Y-axis. On the basis of these two axis, points are plotted on the coordinate plane. The point of intersection of the X-axis and the Y-axis is known as the ‘origin’ and the point of origin is (0, 0). The coordinate axis divides the coordinate plane into 4 quadrants known as the first, second, third and the fourth quadrants.

Example 1: Given 2 points, (1, 2), (-2, 4). On the coordinate plane, in which quadrants do the points lie?

The coordinate plane is divided into 4 quadrants as shown above.

The point (1, 2) -> x = 1 and y= 2. Since both ‘x’ and ‘y’ are positive numbers, the point lies in Quadrant I.

The point (-2, 4)
-> x= -2 and y= 4. Since ‘x’ is negative but ‘y’ is positive, the point lies in Quadrant II.

Example 2: Given the points, (-3, -1), (5, -6) and (-4, 5). On the coordinate plane, in which quadrants do the points lie?

The point (-3, -1)
-> x= -3 and y= -1. Here both ‘x’ and ‘y’ are negative, hence the point lies in Quadrant III.

The point (5, -6)
-> x= 5 and y= -6. Here ‘x’ is positive and ‘y’ is negative, hence the point lies in Quadrant IV.

The point (-4, 5)
-> x = -4 and y= 5. Since ‘x’ is negative but ‘y’ is positive, the point lies in Quadrant II.