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Chapter 4

Chapter 4. 4.6 Slope Intercept Form. Objectives. Write a linear equation in slope-intercept form. Graph a line using slope-intercept form. Slope intercept form .

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Chapter 4

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  1. Chapter 4 4.6 Slope Intercept Form

  2. Objectives • Write a linear equation in slope-intercept form. • Graph a line using slope-intercept form.

  3. Slope intercept form • You have seen that you can graph a line if you know two points on the line. Another way is to use the slope of the line and the point that contains the y-intercept. • This is y= mx+b also known as the slope intercept form

  4. Example#1 • Graph the line given the slope and y-intercept. Slope = -2/5 and y = 4

  5. Example #2 • Graph the line given the slope and y-intercept. • slope = 2, y-intercept = –3

  6. Student guided practice • Do problems 1-4 in your book pg.272

  7. Sloe-intercept form • you know the slope of a line and the y-intercept, you can write an equation that describes the line.

  8. Example #3 • If a line has a slope of 2 and the y-intercept is 3.Write the slope intercept form of the line.

  9. Example#4 • Write the equation that describes the line in slope-intercept form. • slope =1/4 ; y-intercept = 4

  10. Example • Write the equation that describes the line in slope-intercept form. • slope = –9; y-intercept = 5/4

  11. Student guided practice • Do problems 6 and 7 in your book page 272

  12. Example • Write the equation that describes the line in slope-intercept form.

  13. Example • Write the equation that describes the line in slope-intercept form. • slope = 2; (3, 4) is on the line.

  14. Example • Write the equation in slope-intercept form. Then graph the line described by the equation. • A)y = 3x – 1 • B) 2y + 3x = 6

  15. Example • Write the equation in slope-intercept form. Then graph the line described by the equation. • Y=-4

  16. Student guided practice • Do problems 10 to 12 in your book page 272

  17. Application • A closet organizer charges a $100 initial consultation fee plus $30 per hour. The cost as a function of the number of hours worked is graphed below.

  18. for each hour $30 plus Cost is $100 + = y 30 100 •x Application • a. Write an equation that represents the cost as a function of the number of hours. • Solution An equation is y = 30x + 100.

  19. Application • A caterer charges a $200 fee plus $18 per person served. The cost as a function of the number of guests is shown in the graph. • . Write an equation that represents the cost as a function of the number of guests.

  20. Homework • Do problems 14-20 in your book page 272

  21. Closure • Today we learned about the slope intercept form • Next class we are going to learned about point-slope form.

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