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3-2 Graphs of Linear Equations in 2 Variables

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3-2 Graphs of Linear Equations in 2 Variables Coordinate Plane Standard Form Ax + By = C A,B,C are all integers Any linear equation can be written in this form Linear ... – PowerPoint PPT presentation

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Title: 3-2 Graphs of Linear Equations in 2 Variables


1
3-2 Graphs of Linear Equations in 2 Variables
2
Coordinate Plane
y-axis
(x,y)
Up () Down (-)
Right () Left (-)
origin
x-axis
3
Standard Form
  • Ax By C
  • A,B,C are all integers
  • Any linear equation can be written in this form
  • Linear equation Makes a line when graphed
  • Examples NOT Examples
  • x 3y 9 2x 3y2 6
  • y 5 xy 2
  • y 3x 5

4
Graphing Standard Form
  • Find the x- and y-intercepts
  • x-intercept crosses the x-axis (x,0)
  • y-intercept crosses the y-axis (0,y)
  • Example
  • x 2y 6
  • x-intercept x 2(0) 6
  • (6,0)
  • y-intercept 0 2y 6
  • (0,-3)

COVER UP METHOD
Cover up the letter you are not looking for an
divide
Must be in STANDARD FORM to use cover-up
5
Graph Continued
  • (6,0)(0,-3)

6
TOO
  • Graph using intercepts
  • 1) x y 3 2) 3x 2y 9 0
  • Intercepts
  • 1) (3,0)(0,-3) 2) (3,0)(0,4.5)

7
Example
  • 2x 3y 0
  • (0,0)
  • (3,2)
  • You need one more point
  • Pick an x and solve for y
  • 2(3) 3y 0
  • y 2

8
TOO
  • Graph
  • 1) 2x 5y 0 2) x y
  • Possible Points
  • 1) (0,0)(5,-2) 2) (0,0)(1,1)

9
Example One Variable
  • x 3
  • Vertical Line
  • y -2
  • Horizontal Line
  • TOO 2x 1 0
  • x -0.5

10
Homework
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