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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 :)
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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AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\huge \color{green}{\text{_____________________________________}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \LARGE \color{red}{Ax+By+C=0}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \large \color{blue}{\text{1.SLOPEINTERCEPT FORM}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \LARGE \color{red}{y=mx+b}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{yintercept}\color{blue}{\text{ of the line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \large \color{blue}{\text{2.SLOPEPOINT FORM}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \LARGE \color{red}{yy_1=m(xx_1)}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \large \color{blue}{\text{3.TWOPOINT FORM}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \LARGE \color{red}{yy_1=\dfrac{(xx_1)(y_2y_1)}{(x_2x_1)}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \LARGE \color{yellow}{NOTES:}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{ So given any one of these forms ,it is easy to get to the general equation}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{x intercept is of the form (x,0) and i got by putting y=0 in equation of line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{blue}{\text{y intercept is of the form (0,y) and i got by putting =0\in equation of line}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\bf \color{green }{\text{O.K. Now we come to the end of tutorial on Straight lines Part I}}\]

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31\[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0@AravindG A valuable asset for students. Well done!

NotTim
 2 years ago
Best ResponseYou've already chosen the best response.0@NotTim Use this. Remember to cite this again when it dissappears from Notifications. @AravindG I liked it.

ajprincess
 2 years ago
Best ResponseYou've already chosen the best response.0It is really very useful:).

star95
 2 years ago
Best ResponseYou've already chosen the best response.0now i understand the question that they gave me.. thankyou that helped alot

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0I love it a lot! :D

Nikhil619
 2 years ago
Best ResponseYou've already chosen the best response.0@AravindG u should become a teacher u know! amazing tutorial! :D

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31thanks evryone!! I hope my fellow users will surely benefit from it.

star95
 2 years ago
Best ResponseYou've already chosen the best response.0they should because it explains step by step what to do and how to do it..... lol really good job

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.31@Opcode try refreshing

Butterfly16
 2 years ago
Best ResponseYou've already chosen the best response.0I 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.

Veritas
 2 years ago
Best ResponseYou've already chosen the best response.0Agreed, 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 finetuning might help.

KonradZuse
 2 years ago
Best ResponseYou've already chosen the best response.0I'm sorry, but I am colorblind and I cannot read any of this... Can you redo it for me please? :D

chihiroasleaf
 2 years ago
Best ResponseYou've already chosen the best response.0it's better to give example and picture... :) good job... :D
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