1 / 12

Graphing Linear Equations Warm-up Activity

Practice completing ordered pairs, identifying linear equations, and graphing without a given domain. Includes examples and special cases. Homework assignments provided.

jenell
Download Presentation

Graphing Linear Equations Warm-up Activity

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. Warm ups (HW will get stamped tomorrow) Complete the given ordered pairs of the following equation: y = 4x + 2 (-3,?) (?,0) (4,?) (?,5)

  2. 5-4 Graphing Linear Equations Objective: To identify a linear equation and graph linear equations.

  3. Graphing Linear equations… Without a domain!! Dun dun dunn…. • What if we don’t give you the domain? • How will you pick good numbers? • Solve for y • Logic – pick whole #s • At least 3 points • Why?

  4. Example 1 Graph y = 3x – 1

  5. Example 2 Graph y = 1x – 4 2

  6. Example 3 Graph x + 2y = 6

  7. 2 Special Cases Only y 2y = 8 y = 4 (__, 4) Only x x + 2 = -3 x = -5 (-5, __) You can plug in any number for x, y will always be 4. Horizontal line!! You can plug in any number for y, x will always be -5. Vertical line!!

  8. Linear equation: • Something that can be written in standard form • Ax + By = C • A is always positive

  9. Change to Ax + By = CStandard Form y = 4x – 1 -4x -4x -4x + y = -1 -1(-4x + y = -1) 4x – y = 1 4x = 7 + 2y -2y - 2y 4x – 2y = 7 TOO 1. x + 3 = 2y + 5 2. y + 10 = 5 3. 5x + 2x = y - 5 x – 2y = 2 y = -5 7x – y = -5

  10. Not Linear Equations An equation is not linear if: • The variable has an exponent 3x2 – 4y = 0 • The variable is in the denominator of a fraction 3 + 4y = 4 x • The variables are being multiplied together 3xy = 4

  11. Linear Equations Is it a linear equation? If so, write in standard form. If not, why? No: Denominator Exponent multiply • 3 + y = 2 • x 4 2. x - 2y = 5 5 4. 8x - 7y = 2x - 5 3. 3y + 2 = 0 5. 4x2 – 3x = y 6. 5xy = 30

  12. Homework • Pg. 283 # 16-27, 29, 32, 35, 36, 37, 42

More Related