1 / 21

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 .

cira
Download Presentation

Chapter 4

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. 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.

More Related