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first find the slope, m=(y2-y1)/(x2-x1)
then write it in slope intercept form y-y1=m(x-x1)
What if I make up two points and work the problem I made up? Will that help?
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.
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.
One of our points will be (x1, y1) and the other (x2, y2) It does not matter which is which.
Let (x1,y1) be (2, -1) and let (x2, y2) be (-4, -5) Questions so far?
what is y=mx+b
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.
You don't have to leave the equation in that form unless instructed to do so. Most books do request that or standard form.
Focus on cranking out this slope right now.
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. :)
Do you follow how the slope came to be 2/3?
you simplify it
Hey, I like "okey." I understand it means "yes."
Okey, now we use the point slope formula to get the equation of the line.
y - y1 = m (x - x1) y - y1 = (2/3) ( x - x1)
okey can i solve it?
(x1,y1) be (2, -1) from above. y - (-1) = (2/3) ( x - 2)
oh, i change my mind i don't want to answer it
We're almost finished. I'll finish if you have to go.
i'll have to go now eh... can we finish it now??
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)
3y +3 = 2 (x-2) 3y + 3 = 2x - 4
transpose it, right?
Yes, thought you left, :) 3y = 2x - 7
so the answer id -2x+3y=-4-3
the final answer is 2x-3y=7
y = (2/3) x - 7/3 in y = mx + b form where m is the slope and (-7/3) is the y-intercept.
Look at the cool graph: http://www.wolframalpha.com/input/?i=line+%282%2C-1%29+and+%28-4%2C-5%29+
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.
Just takes practice like anything else. :)
haha....thanks for your help.......what is the answer?
y = (2/3) x - 7/3
Glad to help.