Section 4.5 graphing linear equations

Section 4.5 graphing linear equations

• 1.
  Section 4.5 Graphing Linear Equations
• 2.
  The standardform of an linear equation is: A x + B y = C Where A> 0, A and B are not both zero, and A, B, and C are integers whose greatest common factor is 1. Linear Equation – An equation whose graph is a straight line
• 3.
  The standard formcan can also be written in y –intercept form (and vice-versa): y = mx + b Where y must have a coefficient of +1.
• 4.
  For example: StandardForm: Ax + By = C 6x + y = 7 -6x -6x y = -6x + 7 y –intercept form: y = mx + b
• 5.
  For example: StandardForm: Ax + By = C 5x - y = 10 -5x -5x -y = -5x + 10 y –intercept form: y = mx + b y = 5x - 10
• 6.
  Rewrite the followingto standard form Ax + By = C : y = -2x + 5 2x + y = 5
• 7.
  y = 2x y = -3x + 5 y = 3x - 4 y = 2x 2 – 3 y = x 2 y = (x+3) 2
• 8.
  y = 2x-5 y = 2x 3 y = -4x -5 y = 3x 2 y = x 3 -2 y = 2x + 6
• 9.
  y = -2xx = y y = x 4 + 3 y = 10x + 3 (x -3) 2 = y x – 100 = y y = x 2 + 3 y – 1 = 1/2x 4y = 8x + 20 5 = 2x - y 3y = 9x -3 5x 4 -5 = y Linear Equation – An equation whose graph is a straight line
• 10.
  Show video! GraphingEquations using tables: The Five Steps
• 11.
  y = 3xx 3x y -2 3( -2 ) -6 -1 3( -1 ) -3 0 3( 0 ) 0 1 3( 1 ) 3 2 3( 2 ) 6
• 12.
  y = 2xx y -2 -4 -1 -2 0 0 1 2 2 4
• 13.
  -2x + y= 5 y = 2x + 5 x 2x+5 y -2 2( -2 )+5 1 -1 2( -1 )+5 3 0 2( 0 )+5 5 1 2( 1 )+5 7 2 2( 2 )+5 9
• 14.
  Homework: Page 221# 16 – 32 even