anonymous
  • anonymous
please answer this: How will you determine the equation of the line if the given are two points of the line? i really need the answer... thank you
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
first find the slope, m=(y2-y1)/(x2-x1)
anonymous
  • anonymous
then write it in slope intercept form y-y1=m(x-x1)
Directrix
  • Directrix
What if I make up two points and work the problem I made up? Will that help?

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anonymous
  • anonymous
okey....
Directrix
  • Directrix
Points ( 2, -1 ) and ( -4, -5 ) lie on a line. Find the equation of the line that contains then. Leave your answer in y = mx + b form.
Directrix
  • Directrix
First, get the slope. Think of slope as change in y over change in x. m designates the slope of a line and has formula [y2 - y1] / x2 - x 1 ] . The y2 is not y^2 but what we call y sub 2 because the 2 is a subscript which is hard to type.
Directrix
  • Directrix
One of our points will be (x1, y1) and the other (x2, y2) It does not matter which is which.
Directrix
  • Directrix
Let (x1,y1) be (2, -1) and let (x2, y2) be (-4, -5) Questions so far?
anonymous
  • anonymous
what is y=mx+b
Directrix
  • Directrix
That is the form we will leave the equation of our line in. So, if we get something like 2x + 7y = 2/3, then that's not y = mx+b form.
anonymous
  • anonymous
ah okey
Directrix
  • Directrix
You don't have to leave the equation in that form unless instructed to do so. Most books do request that or standard form.
Directrix
  • Directrix
Focus on cranking out this slope right now.
anonymous
  • anonymous
okey
Directrix
  • Directrix
|dw:1329213587734:dw|
Directrix
  • Directrix
4/6 = 2/3 so the slope m is 2/3. Note the use of grouping symbols to help prevent sign problems or "sinus" problems as I call them. :)
Directrix
  • Directrix
Do you follow how the slope came to be 2/3?
anonymous
  • anonymous
ah okey
anonymous
  • anonymous
yes
anonymous
  • anonymous
you simplify it
anonymous
  • anonymous
|dw:1329268007717:dw|
Directrix
  • Directrix
Yes.
Directrix
  • Directrix
Hey, I like "okey." I understand it means "yes."
Directrix
  • Directrix
Okey, now we use the point slope formula to get the equation of the line.
Directrix
  • Directrix
y - y1 = m (x - x1) y - y1 = (2/3) ( x - x1)
anonymous
  • anonymous
okey can i solve it?
Directrix
  • Directrix
(x1,y1) be (2, -1) from above. y - (-1) = (2/3) ( x - 2)
anonymous
  • anonymous
oh, i change my mind i don't want to answer it
Directrix
  • Directrix
We're almost finished. I'll finish if you have to go.
anonymous
  • anonymous
i'll have to go now eh... can we finish it now??
Directrix
  • Directrix
y - (-1) = (2/3) ( x - 2) y + 1 = 2/3 (x - 2) multiply both sides by 3 3(y + 1) = (3) (2/3) (x-2)
Directrix
  • Directrix
3y +3 = 2 (x-2) 3y + 3 = 2x - 4
anonymous
  • anonymous
transpose it, right?
Directrix
  • Directrix
Yes, thought you left, :) 3y = 2x - 7
anonymous
  • anonymous
so the answer id -2x+3y=-4-3
anonymous
  • anonymous
the final answer is 2x-3y=7
Directrix
  • Directrix
y = (2/3) x - 7/3 in y = mx + b form where m is the slope and (-7/3) is the y-intercept.
Directrix
  • Directrix
Look at the cool graph: http://www.wolframalpha.com/input/?i=line+%282%2C-1%29+and+%28-4%2C-5%29+
Directrix
  • Directrix
One last word. There is no quick and short way to learn math but once you do learn it, you will be proud of yourself.
Directrix
  • Directrix
Just takes practice like anything else. :)
anonymous
  • anonymous
haha....thanks for your help.......what is the answer?
Directrix
  • Directrix
y = (2/3) x - 7/3
anonymous
  • anonymous
ah...........T.Y.P
Directrix
  • Directrix
Glad to help.

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