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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 :)
 one year ago
 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 :)
 one year ago
 one year ago

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AravindGBest ResponseYou've already chosen the best response.29
\[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\huge \color{green}{\text{_____________________________________}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \LARGE \color{red}{Ax+By+C=0}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \large \color{blue}{\text{1.SLOPEINTERCEPT FORM}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \LARGE \color{red}{y=mx+b}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{yintercept}\color{blue}{\text{ of the line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \large \color{blue}{\text{2.SLOPEPOINT FORM}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \LARGE \color{red}{yy_1=m(xx_1)}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \large \color{blue}{\text{3.TWOPOINT FORM}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \LARGE \color{red}{yy_1=\dfrac{(xx_1)(y_2y_1)}{(x_2x_1)}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \LARGE \color{yellow}{NOTES:}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{ So given any one of these forms ,it is easy to get to the general equation}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{x intercept is of the form (x,0) and i got by putting y=0 in equation of line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{blue}{\text{y intercept is of the form (0,y) and i got by putting =0\in equation of line}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\bf \color{green }{\text{O.K. Now we come to the end of tutorial on Straight lines Part I}}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
\[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]
 one year ago

kropot72Best ResponseYou've already chosen the best response.0
@AravindG A valuable asset for students. Well done!
 one year ago

NotTimBest 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.
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
It is really very useful:).
 one year ago

star95Best ResponseYou've already chosen the best response.0
now i understand the question that they gave me.. thankyou that helped alot
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
I love it a lot! :D
 one year ago

Nikhil619Best ResponseYou've already chosen the best response.0
@AravindG u should become a teacher u know! amazing tutorial! :D
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
thanks evryone!! I hope my fellow users will surely benefit from it.
 one year ago

star95Best ResponseYou've already chosen the best response.0
they should because it explains step by step what to do and how to do it..... lol really good job
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
Commendable job! B
 one year ago

AravindGBest ResponseYou've already chosen the best response.29
@Opcode try refreshing
 one year ago

Butterfly16Best ResponseYou've already chosen the best response.0
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.
 one year ago

VeritasBest ResponseYou've already chosen the best response.0
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 finetuning might help.
 one year ago

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

chihiroasleafBest ResponseYou've already chosen the best response.0
it's better to give example and picture... :) good job... :D
 one year ago
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