Plotting Cartesian Coordinates

Introduction to Cartesian coordinates: 

We are already aware of how to locate a point on a number line. In order to locate a point (ordered pair) in a plane, we consider two mutually perpendicular lines known as Coordinate axes. The system used to plot points on a plane is known as Rectangular Coordinate System or Cartesian coordinate system (named after the French Mathematician and Philosopher Rene Descartes) and the plane is known as Cartesian plane.

Consider two mutually perpendicular lines XOX’ and YOY’ intersecting each other at the point O. The horizontal line XOX’ is called X axisY axis and the point O is called the Origin. and the vertical line YOY’ is called

Let P(x,y) be a point in Cartesian plane. Then, x = the horizontal distance of point P from Y-axis is known as x-coordinate or abscissa, y = the vertical distance of Point P from X-axis is known as y-coordinate or ordinate and (x,y) = the coordinates of the point P.

Pictorial Representation of Cartesian Coordinate Plane

Cartesian Coordinates : Parts of Cartesian Plane

The X and Y axes separate the coordinate plane into four regions called quadrants, which are numbered in a counterclockwise direction as shown in the above figure.

Signs of the coordinate point in different quadrants:

Quadrant	x-coordinate	y-coordinate	Point(x, y)
I	+	+	(+, +)
II	-	+	(-, +)
III	-	-	(-, -)
IV	+	-	(+, -)

Explanation:

If both (x and y) coordinates of a point are positive, the points falls in Quadrant I. Example: (2, 3), (4, 9) etc.
If x-coordinate is negative and y-coordinate is positive, the point falls in Quadrant II. Example: (-4, 5), (-8, 3) etc.
If both (x and y) coordinates of a point are negative, the point falls in Quadrant III. Example: (-2, -4), (-7, -5) etc.
If x-coordinate is positive and y-coordinate is negative, the point falls in Quadrant IV. Example: (7, -4), (6, -6) etc. Understanding 7th grade math practice problems is always challenging for me but thanks to all math help websites to help me out.

Cartesian Coordinates : Process to Plot the Point (4, 3) and (-4, -3)

To plot the ordered pair (4, 3):

Starting from the origin O, move 4 units to the right on the X-axis and 3 units up on the Y-axis. This gives us the point (4, 3).

To plot the ordered pair (-4, -3):

Starting from the origin from O, move 4 units to the left on the X-axis and 3 units down on the Y-axis. This gives us the point(-4, -3).