1.1 Rectangular Coordinates

Objective

• Plot points in the Cartesian plane.

• Identify the four quadrants.

The Cartesian Plane

• The Cartesian plane is formed by using two real number lines intersecting at right angles.

• The horizontal real number line is

• the x-axis.

• The vertical real number line is

• the y-axis.

• The point of intersection of these two axes

• is the origin.

• The two axes divide the plane into four parts called

• Quadrants.

III

III IV

• In the first quadrant, x > 0 and y > 0, xy > 0.

• In the second quadrant, x < 0 and y > 0,

xy < 0.

In the third quadrant, x < 0 and y < 0, xy > 0.

In the fourth quadrant, x > 0 and y < 0, xy < 0.

On the coordinate plane below, graph A(0, 2), B(4, -3), C(-2, -1), D(2, 3), E(2, 0) and F(-5, 3)

Determine the quadrants in which (x, y) is located so that the

conditions are satisfied.