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AravindG

  • 2 years 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
    • 2 years ago
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    \[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

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

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

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

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

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

  7. AravindG
    • 2 years 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
    • 2 years ago
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    \[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]

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

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

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

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

  14. AravindG
    • 2 years 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
    • 2 years ago
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    \[\rm \bf \large \color{blue}{\text{3.TWO-POINT FORM}}\]

  16. AravindG
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    \[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]

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

  20. AravindG
    • 2 years 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
    • 2 years ago
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    \[\rm \LARGE \color{yellow}{NOTES:-}\]

  22. AravindG
    • 2 years 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
    • 2 years ago
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    \[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]

  24. AravindG
    • 2 years 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
    • 2 years 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
    • 2 years 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
    • 2 years 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
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    @AravindG A valuable asset for students. Well done!

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

  32. ajprincess
    • 2 years ago
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    It is really very useful:).

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

  34. ParthKohli
    • 2 years ago
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    I love it a lot! :-D

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

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

  37. star95
    • 2 years 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
    • 2 years ago
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    Commendable job! B|

  39. AravindG
    • 2 years ago
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    @Opcode try refreshing

  40. Butterfly16
    • 2 years 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
    • 2 years ago
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    give some examples.

  42. Veritas
    • 2 years 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
    • 2 years ago
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    example

  44. KonradZuse
    • 2 years 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
    • 2 years 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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