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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.

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13.7 – Writing Linear Equations

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  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.

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