Algebra 1 Standard Form

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Algebra 1 Standard Form

  1. 1. Agenda Tuesday, Nov. 30 Do Now homework 13 p. 301 # 4 - 14, 16, 18 - 24, 40 - 42 Homework Check 6-3 Standard Form Examples 1 - 3 Quiz on 6.1 - 6.3 Thursday
  2. 2. HW CHECK
  3. 3. Do Now With your partner, please complete both sides of the handout. These will be most of your notes for this section.
  4. 4. Standard Form of a Linear Equation Ax + By = C A,B, & C are all real numbers and A and B are not both zero 3x + 4y = 8 A = 3, B = 4 and C = 8 Useful for graphing. Find the x and y intercepts. What is the value of y at the x-intercept? y = 0 What is the value of x at the y-intercept ? x = 0
  5. 5. 8/3 x y 0 0 3x + 4y = 8 Solve for the x and y intercepts. 3x + 4y = 8 3x + 4(0) = 8 3x = 8 x = 8/3 3x + 4y = 8 3(0) + 4y = 8 y = 2 Substitute 0 for the x to find y intercept. 2 Substitue 0 for y to find the x intercept.
  6. 6. x y 0 0 2 8/3 (0,2) = y-intercept (8/3, 0) - x-intercept plot both points & draw your line
  7. 7. x y 0 0 You try: Find the x and y intercepts and graph the equation 4x - 9y = 12
  8. 8. WHITEBOARD PRACTICE What are the x and y-intercepts? x + 2y = 18 (18, 0) (0, 9) -5x + y = 30 (-6, 0) (0, 30) -2x - 3y = -12 (6, 0) (0, 4) What is the equation of each line in Standard Form? x = 3 y = 1 x = 0
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