1 / 15

SWBAT… Write lines in slope-intercept form Wed, 2/20/10

SWBAT… Write lines in slope-intercept form Wed, 2/20/10. Agenda Warm-up (10 min) Notes on slope intercept – 4 examples (30 min) Exit slip (5 min) WARM-UP http://nlvm.usu.edu/en/nav/frames_asid_332_g_4_t_2.html?from=category_g_4_t_2.html

alaula
Download Presentation

SWBAT… Write lines in slope-intercept form Wed, 2/20/10

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. SWBAT… Write lines in slope-intercept form Wed, 2/20/10 Agenda • Warm-up (10 min) • Notes on slope intercept – 4 examples (30 min) • Exit slip (5 min) WARM-UP http://nlvm.usu.edu/en/nav/frames_asid_332_g_4_t_2.html?from=category_g_4_t_2.html HW#3: Writing equations in slope-intercept form

  2. y-intercept slope Now look at the equation below…… Slope-intercept form: y = mx + b 2 What is the slope? ____________ 1 What is the y-intercept? ____________

  3. Given y = ½x + ¾, what is the slope and the y-intercept? m = ½ b = ¾

  4. Given y = ½x – ¾, what is the slope and the y-intercept? m = ½ b = -¾

  5. Given y = -½x – ¾, what is the slope and the y-intercept? m = -½ b = -¾

  6. y = mx + b • y = mx+ b is an equation that defines a line • A line has two characteristics 1. Slope 2. Points that fall on the line

  7. Converting linear equations into Slope-Intercept Form 4 Examples

  8. Slope intercept form is: y = mx + b Our main goal is to get the y alone on one side of the equation

  9. Example 1 - convert into slope-intercept form 2 1 (divide both sides by 2 to get y alone) (now simplify all fractions) Slope (m) = 2 y-intercept (b) = 1

  10. *** Your turn – Example 2 – convert into slope-intercept form*** 5y = 10x + 15 2 3 (divide both sides by 5 to get y alone) 5 5 5 (now simplify all fractions) y = 2x + 3 BRAVO!! Slope (m) = 2 y-intercept (b) = 3

  11. *** Your turn – Example 3 – convert into slope-intercept form*** -3y = -9x – 12 Step 1: divide both sides by -3 to get y alone Step 2: Simplify all fractions Step 3: Write your equation in y = mx + b Slope (m) = y-intercept (b) =

  12. -3y = -9x – 12 -3 -3 -3 *** Check Your Answer *** (divide both sides by -3 to get y alone) (now simplify all fractions) y = 3x + 4 Slope (m) = 3 y-intercept (b) = 4

  13. 2 3 Example 4 - convert into slope-intercept form 21x – 7y = 14 -21x -21x (subtract both sides by 21x) -7y = -21x + 14 (divide both sides by -7) -7 -7 -7 (simplify all fractions) y = 3x – 2 Slope (m) = 3 y-intercept (b) = -2

  14. ***EXIT SLIP*** 2y + 26 = -6x Step 1: Subtract both sides by 26 Step 2: Divide both sides by 2 to get y by itself Step 3: Simplify all fractions Slope (m) = y-intercept (b) =

  15. *** Check Your Answer*** 2y + 26 = -6x (subtract both sides by 26) (now divide both sides by 2 2y = -6x – 26 (simplify all fractions) y = -3x – 13 Slope (m) = -3 y-intercept (b) = -13

More Related