1 / 41

Graphing linear equations

Graphing linear equations. By Robert O. Mills Jr. Hermitage High School Henrico County Public Schools. Part One. Solving for Y. In order to graph a linear equation you must first solve for y. Given the Problem :. x+y=4. First check to see if y is + or –. x +y =4.

chiu
Download Presentation

Graphing 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. Graphing linear equations By Robert O. Mills Jr. Hermitage High School Henrico County Public Schools

  2. Part One Solving for Y

  3. In order to graph a linear equation you must first solve for y.

  4. Given the Problem : x+y=4

  5. First check to see if y is + or –. x+y=4 If y is + you leave it alone.

  6. What number or factor is on the same side of the equation as + y? x+y=4

  7. Move that number or factor to the other side of the = and change its sign. x+y=4

  8. Move that number or factor to the other side of the = and change its sign. y=4-x

  9. Your answer is: y=4-x

  10. Given the Problem : x-y=4

  11. First check to see if y is + or –. x-y=4 If y is - you move y to the other side of the = and change it to +y.

  12. x-y=4

  13. x=4+y

  14. What number or factor is on the same side of the equation as + y? x=4+y

  15. Move that number or factor to the other side of the = and change its sign.

  16. x = 4 + y

  17. x-4=y Your answer is:

  18. x-4 =y or y=x-4

  19. Given the Problem : x+2y=4

  20. First check to see if y is + or –. x+2y=4 If y is + you leave it alone.

  21. What number or factor is on the same side of the equation as + y? x+2y=4

  22. Move that number or factor to the other side of the = and change its sign. x+2y=4

  23. Move that number or factor to the other side of the = and change its sign. 2y=4-x

  24. If the +y factor has a co-efficient it must lose it. The factors and numbers on the opposite side of the = become a fraction with the y co-efficient as the denominator. 2y=4-x

  25. If the +y factor has a co-efficient it must lose it. The factors and numbers on the opposite side of the = become a fraction with the y co-efficient as the denominator.

  26. Given the Problem : 2x-2y=4

  27. First check to see if y is + or –. 2x-2y=4 If y is - you move y to the other side of the = and change it to +y.

  28. 2x-2y=4

  29. 2x=4+2y

  30. What number or factor is on the same side of the equation as + y? 2x=4+2y

  31. Move that number or factor to the other side of the = and change its sign.

  32. 2x=4+2y

  33. 2x-4=2y Your answer is:

  34. 2x-4 =2y or 2y=2x-4

  35. If the +y factor has a co-efficient it must lose it. The factors and numbers on the opposite side of the = become a fraction with the y co-efficient as the denominator. 2y=2x-4

  36. If the +y factor has a co-efficient it must lose it. The factors and numbers on the opposite side of the = become a fraction with the y co-efficient as the denominator.

  37. Advanced Level • There are times when it will be necessary to work the equation to a simpler level. • For example the formula for slope intercept is y = mx + b. Any denominator in this case must be eliminated. How to do this?

  38. Most often when we think of the distributive property, we are thinking of using it with ( ) and the operation is multiplication. In the previous example the line is also a grouping tool with the operation division.

  39. This is a more complex problem.

More Related