1 / 9

Algebra

Algebra . 5.6 Standard Form. SI Form PS Form Vertical Line Horizontal Line Standard Form. y = mx + b y – y 1 = m(x – x 1 ) x = # y = # Ax + By = C -A and B are both not 0 -A and B are integers and A is positive. Different Forms of Linear Equations.

nuru
Télécharger la présentation

Algebra

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra 5.6 Standard Form

  2. SI Form PS Form Vertical Line Horizontal Line Standard Form y = mx + b y – y1 = m(x – x1) x = # y = # Ax + By = C -A and B are both not 0 -A and B are integers and A is positive Different Forms of Linear Equations

  3. We try! Write y =2x – 3 in Standard Form5 • 5[y =2x – 3]5 First clear the fraction. 5 • 5y = 2x -15 Thenget x and y on the left side. -2x -2x • -1[-2x + 5y = -15] -1 Thenget the coefficient of x positive. • 2x - 5y = 15

  4. You try! Write -5x + 11 = ½ y in Standard Form • 2 [-5x + 11 = ½ y] 2First clear the fraction. • -10x + 22 = y Then get x and y on the same side. +10x +10x • 22 = 10x + yNext rewrite with x and y on the left. • 10x + y = 22

  5. We try! Write the standard form of an equation of the line passing through (-4, 3) with a slope of -2. • y – 3 = -2(x + 4)First write in PS form and distribute. • y – 3 = -2x – 8 Then get x on the left. +2x +2x • 2x + y – 3 = -8Then get all constants on the right. +3 +3 • 2x + y = -5

  6. You try! Write the standard form of an equation of the line passing through (-5, 1) with a slope of ¾ . • y – 1 = ¾ (x + 5)First write in PS form and distribute. • 4 [y – 1 = 3 x + 15 ] 4Then clear the fraction. 44 • 4y – 4 = 3x + 15Next get x and y on the left. -3x -3x • -3x + 4y – 4 = 15 Then get the constant on the right. +4 +4 • -1 [-3x + 4y = 19] -1 Next get the coefficient of x positive. • 3x - 4y = -19

  7. Write the standard form of the equation of… • The horizontal line. Answer: y = 3 • The vertical line. Answer: x = -3 . (2, 3) . (-3, -1)

  8. You are buying food for a BBQ. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have $60. • Write an equation that models different amounts of each item you can buy. Let x = lbs of hamburgers bought; Let y = lbs of chicken bought 2x + 5y = 60 b) Model the possible combinations of each item you can buy with a table and a graph. . (0, 20) y Chicken lbs. . (12, 12) x y . (15, 10) 2x + 5y = 60 10 5 . (30, 0) 0 20 2(0) + 5y = 60 30 0 2x + 5(0) = 60 5 10 X lbs. Burgers 15 10 2(15) + 5y = 60 12 12 2(12) + 5y = 60

  9. HW • P. 311-312 (19-63 odd, 64-69)

More Related