1 / 32

Algebra 5.6

Algebra 5.6. 5.6 Slope Intercept Form. Learning Targets. Language Goal Students will be able to write a linear equation in slope-intercept form. Math Goal Students will be able to graph a line using slope-intercept form. Essential Questions Why do we have many forms to graph a line?.

stacey-curtis
Télécharger la présentation

Algebra 5.6

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. Algebra 5.6 5.6 Slope Intercept Form

  2. Learning Targets Language Goal Students will be able to write a linear equation in slope-intercept form. Math Goal Students will be able to graph a line using slope-intercept form. Essential Questions Why do we have many forms to graph a line?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Homework Check

  7. Homework Check

  8. Homework Check

  9. Go over 5.1 – 5.5 Quiz

  10. Steps for Graphing by using Slope and Intercept • Steps for graphing by using Slope and Intercept 1. Plot the y-intercept using the point (0, #) 2. Slope = . • The numerator moves you up or down. (Up if positive, Down if negative.) • The denominator moves you left or right. (Right if positive, Left if negative) 3. Plot a point once you have moved with the appropriate slope. 4. Draw a line connecting the two points

  11. Example Type 1: Graphing by using slope and y-intercept Graph each line given the slope and y-intercept. A. Slope = ; y-int. = -2 B. Slope = -2; y-int. = 4

  12. Example Type 1: Graphing by using slope and y-intercept Graph each line given the slope and y-intercept. C.Slope =2; y-int. = -3D. Slope = ; y-int. = 1

  13. Example 2: Writing Linear Equations in Slope-Intercept Form • **If you know the slope of a line and the y-intercept you can write an equation that describes the line. 1. Slope is m = . 2. The y-intercept is usually in the form y-intercept = # or (0, #) That number is your b. 3. Slope intercept form is y = mx + b

  14. Example 2, Part A:Writing Linear Equations in Slope-Intercept Form A. Slope = , y-int. = 6 B. Slope = -12, y-int. =

  15. Example 2, Part A: Writing Linear Equations in Slope-Intercept Form C. Slope =1, y-int. = 0 D. Slope = 0, y-int. =

  16. Example 2, Part B: Finding Slope Form Given Slope and a Point • Step 1: Find the y – intercept by... • Plugging in the slope and the ordered pair. Solve for b. • Step 2: Write the equation using the slope and b. • Slope Intercept Form: • y = mx + b

  17. Example 2, Part B: Finding Slope Form Given Slope and a Point A. Slope = 4, (2, 5) is on the line. B. Slope = 8, (3, -1) is on the line.

  18. Example 2, Part B: Finding Slope Form Given Slope and a Point C. Slope = 2, (3, 4) is on the line

  19. Example 3: Using Slope-Intercept Form to Graph • Step 1: Find the slope and y-intercept from the equation. • Find m and b. Remember y = mx + b • Step 2: Plot the y-intercept • Step 3: Use slope to plot a second point • Step 4: Draw a line connecting the points

  20. Example 3: Using Slope-Intercept Form to Graph A. y = 4x – 3 B. y = - x + 2

  21. Example 3: Using Slope-Intercept Form to Graph C. y = 3x – 1

  22. Additional Example 3: Changing Equations to Slope Intercept Form • Step 1: Write the equation in slope intercept form. • Solve the equation for y. • Move everything else to the other side of the equal to sign. • Step 2: Graph the line as previously done.

  23. Additional Example 3: Changing Equations to Slope Intercept Form A. 3x + 2y = 8 B. 2y + 3x = 6

  24. Additional Example 3: Changing Equations to Slope Intercept Form C. 6x + 2y = 10

  25. Review 5.6 Write an equation of the line and then graph. A. Slope = 1; y intercept = 4

  26. Review 5.6 Write an equation of the line and then graph. B. Slope = ; y intercept = -2

  27. Review 5.6 Find m and b, then graph. C. m = __________ b = __________

  28. Review 5.6 Find m and b, then graph. D. m = __________ b = __________

  29. Review 5.6 Find Slope Intercept Form given slope and a point. E. (0, -5), m =

  30. Review 5.6 Find Slope Intercept Form given slope and a point. F. (4, 6), m =

  31. Review 5.6 Write an equation in slope-intercept form of the following graphs. G. H. I.

  32. Lesson Quiz

More Related