Question

~~I'll give a medal :))~~
Find an equation for the line that passes through the points, (3,−2) and , (−3,6).

Answer 1

@FortyTheRapper

Answer 2

do you know how to find a gradient?

Answer 3

no :( @nubeer

Answer 4

\[m=\frac{ y _{2} -y _{1}}{ x _{2}-x _{1} }\]
"m" is the gradient here

Answer 5

oh okay. How would I plug in the numbers

Answer 6

(3,-2) -- > these are x1 and y1 x1=3,y1=-2
(-3,6) x2=-3,y2=6

Answer 7

i believe you can find "m" now

Answer 8

I got - 8/6

Answer 9

@nubeer

Answer 10

gud.
now to find any equation of line the formula is as following:

\[y=mx + c\]

Answer 11

you have found m right?

Answer 12

Oh that's the answer? :O

Answer 13

no :3

Answer 14

i am jut trying to explain you step by step

Answer 15

oh y = mx + c

Answer 16

m = -8/6 (as you found above)
y=mx+c
now plug m here

Answer 17

I dont get it :s

Answer 18

:/

Answer 19

which part u don't get?

Answer 20

what I have to plug in y = mx + c

Answer 21

the value "m" you just found above

Answer 22

m is also known as gradient

Answer 23

do I have to do something with that to get mx??

Answer 24

-_-
let me start over again

Answer 25

you have two coordinates given to you in question..
i asked you to find the gradient.
you got -8/6

so far correct?

Answer 26

yes

Answer 27

okay.. this was only the half solution..

so the next step is to know the formula to find the equation of line (which is asked in your question)
Basically there are two formulas to find the equation of line
\[y=mx+c\]

OR

\[y-y _{1}=m(x-x _{1})\]

Are you familiar or studied any one of them at school or anywhere?

Answer 28

no not yet :s

Answer 29

okay.. well you can remember it now that you have to use any one of the formula above.
so which formula you would like to choose?

Answer 30

which one is easier? :o

Answer 31

both are..
but for starters u can use y=mx+c

Answer 32

oh okay

Answer 33

y=mx + c

here we usually have to find "m" and "c"
we did find "m"
what was it?

Answer 34

-8/6

Answer 35

okay now we plug this value in y=mx+c

y = (-8/6)x +c

Answer 36

now only the missing variable is c
pick any coordinate given in your question

Answer 37

ummm 3, -2

Answer 38

okay.. put them in the equation now..
y= (-8/6)x +c
find c here

Answer 39

y= (-8/6)3 + -2?

Answer 40

:3 no
x =3, y=-2
pluggin in equation
-2 = (-8/6) (3) +c
-2 = -4 +c
c =2

so
y= (-8/6)x +2
this is your answer

Answer 41

oh thankk uu :)