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AravindG
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 :)
\[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]
\[\huge \color{green}{\text{_____________________________________}}\]
\[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]
\[\rm \LARGE \color{red}{Ax+By+C=0}\]
\[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]
\[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]
\[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]
\[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]
\[\rm \bf \large \color{blue}{\text{1.SLOPE-INTERCEPT FORM}}\]
\[\rm \bf \LARGE \color{red}{y=mx+b}\]
\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{y-intercept}\color{blue}{\text{ of the line}}\]
\[\rm \bf \large \color{blue}{\text{2.SLOPE-POINT FORM}}\]
\[\rm \bf \LARGE \color{red}{y-y_1=m(x-x_1)}\]
\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]
\[\rm \bf \large \color{blue}{\text{3.TWO-POINT FORM}}\]
\[\rm \bf \LARGE \color{red}{y-y_1=\dfrac{(x-x_1)(y_2-y_1)}{(x_2-x_1)}}\]
\[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]
\[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]
\[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]
\[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]
\[\rm \LARGE \color{yellow}{NOTES:-}\]
\[\bf \color{blue}{\text{ So given any one of these forms ,it is easy to get to the general equation}}\]
\[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]
\[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]
\[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]
\[\bf \color{blue}{\text{x intercept is of the form (x,0) and i got by putting y=0 in equation of line}}\]
\[\bf \color{blue}{\text{y intercept is of the form (0,y) and i got by putting =0\in equation of line}}\]
\[\bf \color{green }{\text{O.K. Now we come to the end of tutorial on Straight lines Part I}}\]
\[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]
@AravindG A valuable asset for students. Well done!
@NotTim Use this. Remember to cite this again when it dissappears from Notifications. @AravindG I liked it.
It is really very useful:).
now i understand the question that they gave me.. thankyou that helped alot
I love it a lot! :-D
@AravindG u should become a teacher u know! amazing tutorial! :D
thanks evryone!! I hope my fellow users will surely benefit from it.
they should because it explains step by step what to do and how to do it..... lol really good job
@Opcode try refreshing
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.
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.
I'm sorry, but I am colorblind and I cannot read any of this... Can you redo it for me please? :D
it's better to give example and picture... :) good job... :D