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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