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.