# 3.5 notes - 3x – 2y = 6 is a LINE. (only 2 variables) 3x...

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1 3.5 Notes Graphs in Three Dimensions Warm-up Find the x and y intercepts of the graph of each linear equation. 1) y = 2x + 6 2) 2x + 9y = 36 3) Graph y = 3x Warm-up 1) y = 2x + 6 2) 2x + 9y = 36 3) Graph y=3x 3.5 Notes Objectives : -graph points in 3-D -graph equations in 3-D You know how to graph in 2-D (ordered pairs). Adding a third axis (z axis) creates coordinate space. Ordered Triples (x,y,z) Plot (2,3,4) Graphing in Coordinate Space Graph each point in coordinate space. a) (0,3,-2) b) (-2,-1,3) Graphing Equations in 3-D The graph of an equation is a picture of all solutions to the equation

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Unformatted text preview: 3x – 2y = 6 is a LINE. (only 2 variables) 3x – 2y + z = 6 is a PLANE. (3 variables) If the graph of a plane intersects one of the coordinate planes in a line, then the line is called a trace. 2 Graphing Equations in 3-D The xy-trace is the line in the xy-plane that contains the x-int and y-int (blue) The xz is in red the yz is in pink Sketching a Plane Sketch the graph of 2x + 3y + 4z = 12 (Find the intercepts. How?) You try! 1) x+y+z=5 2) 2x-y+3z=6 Homework p. 145 # 1-4, 7-10(same coor space), 19-24...
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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3.5 notes - 3x – 2y = 6 is a LINE. (only 2 variables) 3x...

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