Algebra 1 Standard Form
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1) The document contains an agenda for a math class on Tuesday November 30th including homework assignments, a quiz, and notes on standard form of a linear equation. 2) The notes explain that a standard form linear equation is written as Ax + By = C, where A, B, and C are real numbers and A and B are not both zero. Examples are worked out finding the x- and y-intercepts by setting one variable to zero. 3) Students are asked to find the x- and y-intercepts and graph the equation 4x - 9y = 12.
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Algebra 1 Standard Form
- 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. HW CHECK
- 3. Do Now With your partner, please complete both sides of the handout. These will be most of your notes for this section.
- 6. 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
- 7. 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.
- 8. x y 0 0 2 8/3 (0,2) = y-intercept (8/3, 0) - x-intercept plot both points & draw your line
- 9. x y 0 0 You try: Find the x and y intercepts and graph the equation 4x - 9y = 12
- 13. 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