Algebra 2 Notes
February 3, 2009

Find the x- and y-intercepts of the graph of
each linear equation:
 y = 2x + 6
 3x – 8y = -24
 2x + 9y = 36

Coordinate Plane: Flat, 2 Dimensions
◦ Graph points using ordered pairs: (x, y)

Coordinate Space: 3 Dimensions
◦ Graph points using
ordered triplets:
(x, y, z)
◦ x-axis front to back
◦ y-axis side to side
◦ z-axis up and down

Graph each point in coordinate space:
(0, 3, -2)
(-1, -3, 3)

Graph the following points in coordinate space:
A( 0, -4, -2)
B(-1, 1, 3)
C(3, -5, 2)


The graph of an equation in 2-Dimensions is
a line
The graph of an equation in 3-Dimensions is
a plane.


If the graph of a plane intersects one of the
coordinate planes in a line, then the line is called a
trace.
Sketch the graph of 2x + 3y + 4z = 12
◦ Step 1: Find the intercepts
◦ Step 2: Graph the intercepts
◦ Step 3: Draw the traces,
shade the plane

Sketch the graph of 2x – y +3z =6
 Pg
149 #1, 2, 5-10, 13, 16,
17, 19, 20, 33, 53-56