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AravindG

  • one year ago

Note ! This is not a question .This is my new series of Tutorials,in this one I am taking up the topic "STRAIGHT LINES" because i see a major part of the questions asked in OS maths section is something like "write slope point form equation of this line", "write the equation of line passing through points.." etc. So here we go .Do not forget to provide your valuable feedback.Feel free to link this tutorial to students when they ask these types of questions again. Happy openstudying ! P.S. Vedic mathematics tutorials will also be continued. Don't worry :)

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  1. AravindG
    • one year ago
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    \[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

  2. AravindG
    • one year ago
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    \[\huge \color{green}{\text{_____________________________________}}\]

  3. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]

  4. AravindG
    • one year ago
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    \[\rm \LARGE \color{red}{Ax+By+C=0}\]

  5. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]

  6. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]

  7. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]

  8. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]

  9. AravindG
    • one year ago
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    \[\rm \bf \large \color{blue}{\text{1.SLOPE-INTERCEPT FORM}}\]

  10. AravindG
    • one year ago
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    \[\rm \bf \LARGE \color{red}{y=mx+b}\]

  11. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{y-intercept}\color{blue}{\text{ of the line}}\]

  12. AravindG
    • one year ago
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    \[\rm \bf \large \color{blue}{\text{2.SLOPE-POINT FORM}}\]

  13. AravindG
    • one year ago
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    \[\rm \bf \LARGE \color{red}{y-y_1=m(x-x_1)}\]

  14. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]

  15. AravindG
    • one year ago
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    \[\rm \bf \large \color{blue}{\text{3.TWO-POINT FORM}}\]

  16. AravindG
    • one year ago
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    \[\rm \bf \LARGE \color{red}{y-y_1=\dfrac{(x-x_1)(y_2-y_1)}{(x_2-x_1)}}\]

  17. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]

  18. AravindG
    • one year ago
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    \[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]

  19. AravindG
    • one year ago
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    \[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]

  20. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]

  21. AravindG
    • one year ago
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    \[\rm \LARGE \color{yellow}{NOTES:-}\]

  22. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{ So given any one of these forms ,it is easy to get to the general equation}}\]

  23. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]

  24. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]

  25. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]

  26. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{x intercept is of the form (x,0) and i got by putting y=0 in equation of line}}\]

  27. AravindG
    • one year ago
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    \[\bf \color{blue}{\text{y intercept is of the form (0,y) and i got by putting =0\in equation of line}}\]

  28. AravindG
    • one year ago
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    \[\bf \color{green }{\text{O.K. Now we come to the end of tutorial on Straight lines Part I}}\]

  29. AravindG
    • one year ago
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    \[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]

  30. kropot72
    • one year ago
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    @AravindG A valuable asset for students. Well done!

  31. NotTim
    • one year ago
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    @NotTim Use this. Remember to cite this again when it dissappears from Notifications. @AravindG I liked it.

  32. ajprincess
    • one year ago
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    It is really very useful:).

  33. star95
    • one year ago
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    now i understand the question that they gave me.. thankyou that helped alot

  34. ParthKohli
    • one year ago
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    I love it a lot! :-D

  35. Nikhil619
    • one year ago
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    @AravindG u should become a teacher u know! amazing tutorial! :D

  36. AravindG
    • one year ago
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    thanks evryone!! I hope my fellow users will surely benefit from it.

  37. star95
    • one year ago
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    they should because it explains step by step what to do and how to do it..... lol really good job

  38. shubhamsrg
    • one year ago
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    Commendable job! B|

  39. AravindG
    • one year ago
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    @Opcode try refreshing

  40. Butterfly16
    • one year ago
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    I love this, its really great! I love the colors, lol. :o) Maybe you could add some examples of how to find and put equations and points into the formulas? I know when I'm learning, it always helps to look (and sorta follow) examples.

  41. hartnn
    • one year ago
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    give some examples.

  42. Veritas
    • one year ago
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    Agreed, examples would probably help some of the more... persistent minds. That is when you get the time, this is wonderful as is, just a bit of fine-tuning might help.

  43. RobertoTB
    • one year ago
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    example

  44. KonradZuse
    • one year ago
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    I'm sorry, but I am colorblind and I cannot read any of this... Can you redo it for me please? :D

  45. SGREBORN
    • one year ago
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    Cheers

  46. chihiroasleaf
    • one year ago
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    it's better to give example and picture... :) good job... :D

  47. goformit100
    • one year ago
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    Awesome JOB!

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