Question

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 :)

Answer 1

\[\huge \color{green}{\text{*****STRAIGHT LINES*****}}\]

Answer 2

\[\huge \color{green}{\text{_____________________________________}}\]

Answer 3

\[\bf \color{blue}{\text{ lets start with general equation of a straight line}}\]

Answer 4

\[\rm \LARGE \color{red}{Ax+By+C=0}\]

Answer 5

\[\bf \color{blue}{\text{ where A,B are not both 0 represent equation of a straight line}}\]

Answer 6

\[\bf \color{blue}{\text{A straight line can be represented once we know two of its parameters .}}\]

Answer 7

\[\bf \color{blue}{\text{Now depending on what the parameters are given to us we can write the}}\]

Answer 8

\[\bf \color{blue}{\text{equation in different forms. Lets discuss them now. }}\]

Answer 9

\[\rm \bf \large \color{blue}{\text{1.SLOPE-INTERCEPT FORM}}\]

Answer 10

\[\rm \bf \LARGE \color{red}{y=mx+b}\]

Answer 11

\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and b is the }} \color{green}{y-intercept}\color{blue}{\text{ of the line}}\]

Answer 12

\[\rm \bf \large \color{blue}{\text{2.SLOPE-POINT FORM}}\]

Answer 13

\[\rm \bf \LARGE \color{red}{y-y_1=m(x-x_1)}\]

Answer 14

\[\bf \color{blue}{\text{where m is the }}\color{green}{ slope} \color{blue}{\text{ and }} \color{green}{(x_1,y_1)}\color{blue}{\text{is a point on the line}}\]

Answer 15

\[\rm \bf \large \color{blue}{\text{3.TWO-POINT FORM}}\]

Answer 16

\[\rm \bf \LARGE \color{red}{y-y_1=\dfrac{(x-x_1)(y_2-y_1)}{(x_2-x_1)}}\]

Answer 17

\[\bf \color{blue}{\text{where }}\color{green}{ (x_1,y_1) ,(x_2,y_2)}\color{blue}{\text{ are points on the line}}\]

Answer 18

\[\rm \bf \large \color{blue}{\text{4.INTERCEPT FORM}}\]

Answer 19

\[\rm \bf \LARGE \color{red}{\dfrac{x}{a}+\dfrac{y}{b}=1}\]

Answer 20

\[\bf \color{blue}{\text{where a and b are }}\color{green}{\text{x and y intercepts}}\color{blue}{\text{ of the line}}\]

Answer 21

\[\rm \LARGE \color{yellow}{NOTES:-}\]

Answer 22

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

Answer 23

\[\bf \color{blue}{\text{by usual operations like addition,subtraction division and multiplicaion}}\]

Answer 24

\[\bf \color{blue}{\text{ Also worth mentioning is that once we have the equation of line in our hand we }}\]

Answer 25

\[\bf \color{blue}{\text{ hand, we can easily graph them, by finding x and y intercept and joining them}}\]

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

\[\rm \huge \color{red}{T} \color{green}{H}\color{blue}{A}\color{YELLOW}{N}\color{INDIGO}{K } \color{VIOLET}{ \text{ Y}}\rm \huge \color{red}{O} \color{green}{U}\]

Answer 30

@AravindG A valuable asset for students. Well done!

Answer 31

@NotTim Use this. Remember to cite this again when it dissappears from Notifications.
@AravindG I liked it.

Answer 32

It is really very useful:).

Answer 33

now i understand the question that they gave me.. thankyou that helped alot

Answer 34

I love it a lot! :-D

Answer 35

@AravindG u should become a teacher u know! amazing tutorial! :D

Answer 36

thanks evryone!! I hope my fellow users will surely benefit from it.

Answer 37

they should because it explains step by step what to do and how to do it..... lol really good job

Answer 38

Commendable job! B|

Answer 39

@Opcode try refreshing

Answer 40

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.

Answer 41

give some examples.

Answer 42

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.

Answer 43

example

Answer 44

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

Answer 45

Cheers

Answer 46

it's better to give example and picture... :)
good job... :D

Answer 47

Awesome JOB!