1 / 16

13.7 – Writing Linear Equations

13.7 – Writing Linear Equations. What does the m represent?. What does the b represent?. y= m x+ b. SLOPE!!!. Y-INT!!!. Y. Name the slope and y-intercept of each line m b. BLUE GREEN PURPLE. We are going to learn how to write equations.

tyra
Download Presentation

13.7 – Writing Linear Equations

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. 13.7 – Writing Linear Equations What does the m represent? What does the b represent? y=mx+b SLOPE!!! Y-INT!!! Y Name the slope and y-intercept of each line m b BLUE GREEN PURPLE

  2. We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points

  3. Y - I N T = 3 m = 1 y = 1 x + 3

  4. Solve for y, change it to ‘y =‘ Distribute Get y by itself

  5. We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points

  6. Writing an equation given a slope and a point. Point-slope form Slope-intercept form Plug in the slope and the point into point slope form Plug in the slope and the point into point slope form Solve for y (get y by itself) 2 3 1 –6

  7. Slope-intercept form Point-slope form Standard form Write the equation of the line given a point and a slope in point-slope form 1 2 2 4

  8. Slope-intercept form Point-slope form Standard form Write the equation of the line given a point and a slope in SLOPE-INTERCEPT FORM 1 2 2 4

  9. y2 – y1 SLOPE = m = x2 – x1 Find points and label Plug into formula Reduce Fraction Find points and label Plug into formula Reduce Fraction (0, 2) (2, -4) x1y1x2y2 (3,-1) (2, 3) x1y1x2y2 y2 y1 y2 y1 2 -1 -4 3 x2 x1 x2 x1 2 0 2 3 -6 4 2 -1

  10. We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points One new thing: Find your own darn slope! ADJ:AJDSAK:JFDS:FJIJOWEJC:DSJK:FJKOWEIJFKSD:EJIFLSJFKSLFJSKFLJSFELIWPOWPJDPWAOJLJFSLSDEFPWOPEFJSLKFJWPEJFSDLFJSLOPEDSJFKL:WJPAFJPDSVOJDSPKFEIWLPJFKLSDFJ:AJWPVDSNFELWKGJWLEGIJLRIJGDFI

  11. Slope-intercept form y2 – y1 m = x2 – x1 Point-slope form Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form (3,-1) (2, 3) x1y1x2y2 y2 y1 -1 3 x2 x1 2 3 4 -4 -1 3 2 Slope-int

  12. Slope-intercept form y2 – y1 m = x2 – x1 Point-slope form Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form y2 y1 1 -4 (-4,1) (6, -4) x1y1x2y2 -1 2 x2 x1 6 -4 1 –4 -5 10 Slope-int

  13. Slope-intercept form y2 – y1 m = x2 – x1 Point-slope form Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form y2 y1 5 7 (0,5) (6, 7) x1y1x2y2 1 3 x2 x1 6 0 5 0 2 6 Standard

  14. Practice problems Slope – Int Standard (3, 4); (1, 2) (-2, 4) (1, -5)

  15. HW #55: Pg 555: 8, 10, 17 – 20 (slope-int and standard) 22, 23, 25 – 30 (even standard, odd slope-intercept), 33 – 38. (20 problems, end problems not easy) • Hint for 33, think circumcenter.

More Related