Hello I really need help with one homework question
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OpenStudy (anonymous):
what question is it?
OpenStudy (anonymous):
Find an equation of the line containing the given pair of points
(-2,-4) and (-8,-9)
OpenStudy (anonymous):
easy
OpenStudy (anonymous):
Great because I have been at it for over an hour!
OpenStudy (anonymous):
hahaha. ok first draw a cartesian plane
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
you know what that is? yes? ok then plot the two points on the plane
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
have you done that? then draw a line between the two points on the graph
OpenStudy (anonymous):
Done
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OpenStudy (anonymous):
ok so now you have to draw the line so that it crosses the x and y axis
OpenStudy (anonymous):
just extend the line
OpenStudy (anonymous):
ok done
OpenStudy (anonymous):
good so now do you know what rise / run is?
OpenStudy (anonymous):
No
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OpenStudy (anonymous):
ok so umm, what are the points when you extend the line to the x and y axis?
OpenStudy (anonymous):
-2,2
OpenStudy (anonymous):
good. ok so um,.. hold on let me do this in my head for a sec ok? so um,... while you wait tell me a bit about urself.
OpenStudy (anonymous):
I am a student and university of phoenix. I am not good at math at all.
OpenStudy (anonymous):
In my help page it says to find the slope first
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OpenStudy (anonymous):
yes you have to find the slope first
OpenStudy (anonymous):
to find the slope you have to do rise over run
OpenStudy (anonymous):
I come up with -5/6 is that right?
OpenStudy (anonymous):
hold on i'm a bit slow
OpenStudy (anonymous):
sorry about that i'm just learning it myself
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OpenStudy (anonymous):
it willl take a while. sorry
OpenStudy (anonymous):
sorry to interrupt.... the slope is 5/6
OpenStudy (anonymous):
ya i think so. sorry i'm not very good, i'm trying my best. ok um. have you heard of y2-y2/x2-x1= ?
OpenStudy (anonymous):
yea that is the same formula I used but my answer came up with a negative 5/6
OpenStudy (anonymous):
two negatives make a positive
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OpenStudy (anonymous):
Ok then onto the problem then how do I work this in
OpenStudy (anonymous):
ok well you work out what 5/6 is and that's .833
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
=0.833(x-8) =
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
ok so the answer is y=0.833x-2.336
OpenStudy (anonymous):
No they gave the answer as 5/6x-7/3
OpenStudy (anonymous):
use the point-slope form.. y-y1 = m (x-x1)
take one given point and put in the x and y coordinates
y + 4 =5/6 (x+2)
isolate y:
y = 5/6 (x + 2) - 4
expand and collect like terms:
y = (5/6) x +5/3 - 4
y = (5/6) x - 7/3
OpenStudy (anonymous):
Ok well I already got that one wrong so now I have a new one (-1,-8) and (-7,-6)
OpenStudy (anonymous):
you still there?
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OpenStudy (anonymous):
slope = -2/6 = -1/3
OpenStudy (anonymous):
The answer is as you posted above?
OpenStudy (anonymous):
? you want the equation of the line right? hang on...
OpenStudy (anonymous):
Ok Thanks!
OpenStudy (anonymous):
y = (-1/3) x - 25/3
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OpenStudy (anonymous):
you are great thanks!!!!!!!!!
OpenStudy (anonymous):
^o^ happy to help.
OpenStudy (anonymous):
How about this one (-10,8);7x-5y=2
OpenStudy (anonymous):
what are we looking for?
OpenStudy (anonymous):
Write an equation of the line containing the given point and parallel to the given line. Express your answer as y-mx+b
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OpenStudy (anonymous):
y = (2/5) x + 22
OpenStudy (anonymous):
Sorry I wrote that wrong it is (4,8);x-7y=5. I sent you my example question sorry.
OpenStudy (anonymous):
Sorry it is x+7y not x-7y
OpenStudy (anonymous):
y = (-1/7) x + 60/7
OpenStudy (anonymous):
I really do not understand how you solve these ones but thanks. Can you help me with a couple more or is that not ok?
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OpenStudy (anonymous):
Ok, what does it mean for two lines to be parallel?
OpenStudy (anonymous):
Is that OK?
OpenStudy (anonymous):
Is what ok?
OpenStudy (anonymous):
I would like to have help with another question
OpenStudy (anonymous):
That's fine, but I was going to explain how to go about finding the answer to this one since you didn't actually learn anything from Applekiwi's response.
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OpenStudy (anonymous):
If you'd like to work on another problem, that's fine too.
OpenStudy (anonymous):
I would like both help with solving the problem and explaining
OpenStudy (anonymous):
Which problem?
OpenStudy (anonymous):
(-2,7; 5x=4y+3
OpenStudy (anonymous):
You want a parallel line that intersects (-2,7)?
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OpenStudy (anonymous):
Write an equation of the line containing the given point and parallel to the given line. Express your answer as y-mx+b
OpenStudy (anonymous):
Sorry yes i forgot the other )
OpenStudy (anonymous):
Ok, so what does it mean for two lines to be parallel?
OpenStudy (anonymous):
They extend in the same direction
OpenStudy (anonymous):
Equidistant at all points, and never converging or diverging
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OpenStudy (anonymous):
Are you still there?
OpenStudy (anonymous):
Those are both good definitions. Let me give you a third. The reason that they are equidistant at all points is because they both have the same slope right?
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
Do you agree that makes sense?
OpenStudy (anonymous):
Yes
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OpenStudy (anonymous):
So what is the slope of your original line?
OpenStudy (anonymous):
5x=4y+3
OpenStudy (anonymous):
5/4x-3/4?
OpenStudy (anonymous):
that equals y, but what is the slope?
OpenStudy (anonymous):
I don't know. How do I find the slope?
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OpenStudy (anonymous):
well, the slope intercept form of a line is
y=mx + b
where m is the slope, and b is the intercept. is that the form you have it in?