can someone explain linear equasions to me? pleaseeeeeeee!!!
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OpenStudy (anonymous):
Sure, is this linear algebra?
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
Are you talking about equations such as y=mx+b?
OpenStudy (anonymous):
no like slope and stuff
OpenStudy (anonymous):
I'm confused, is this after Calc 3 and Diff EQ? or is this just basic algebra?
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OpenStudy (anonymous):
Such as orthogonal projections, contractions and dialiations, rotations, etc?
OpenStudy (anonymous):
ill give you a problem example lol hang on
OpenStudy (anonymous):
My question is, is this for Algebra I, II, etc. Or linear algebra?
OpenStudy (anonymous):
algibra 1
OpenStudy (anonymous):
Oh, Wow. Sure then.
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OpenStudy (anonymous):
Do you have a specific problem that you might need help with. I could use that as an example.
OpenStudy (anonymous):
umm i could find one hang on plz
OpenStudy (anonymous):
k
OpenStudy (anonymous):
what is the equasion of a line in general form that passes through (-1,2) (5,2)
OpenStudy (anonymous):
For this question, use the slope formula to find the slope.
So for this question, you have 2 points::(-1,2) (5,2)
So, slope = y2-y1 all over x2-x1
so, (2-2)/(5-(-1)). this would give you the slope.
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OpenStudy (anonymous):
The slope would be: 0
OpenStudy (anonymous):
This is because this is a horizontal line.
OpenStudy (anonymous):
so an equation for this question would be y=2
OpenStudy (anonymous):
but the options are x-2=0, y-2+0, or y-x-2=0
OpenStudy (anonymous):
y-2+0, is the same as y=2
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OpenStudy (anonymous):
It would be y-2+0.
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
what about if it was... (1,-2) and a slope of 1/3?
OpenStudy (anonymous):
Use the point slope formula. (y-(-2)=(1/3)(x-1).
OpenStudy (anonymous):
y=(1/3)x-(7/3)
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OpenStudy (anonymous):
i still sont understand
OpenStudy (anonymous):
What exactly do you not understand?
OpenStudy (anonymous):
how the whole process works i cant figure it out
OpenStudy (anonymous):
ok, So in algebra I, You have to memorize 3 formulas.
OpenStudy (anonymous):
okay..
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OpenStudy (anonymous):
They are
Slope intercept formula: y=mx+b
Point slope formula: (y-y1)=x(x-x1),
and general formula:
ax+by=c
OpenStudy (anonymous):
Now, say you are give a y-ntercept and the slope of a line, you would want to use the slope intercept formula. This is because the (m) is where you plug in the slope and (b) is where you plug in the y-intercept.
OpenStudy (anonymous):
With these 3 formula's you can pretty much solve any Algebra I graphing question.
OpenStudy (anonymous):
It might be kinda hard to interpret everything that i'm saying, so just ask if you get confused.
OpenStudy (anonymous):
CONFUSED!!
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OpenStudy (anonymous):
Okay, then let me start with even more basics. In Algebra you are introduced to solving very simple equations.
For example, 3x=9. You are asked to solve for x.
You are then later introduced something new. Graphing.
OpenStudy (anonymous):
Does this look familiar?
OpenStudy (anonymous):
X=3
OpenStudy (anonymous):
Correct, this is just the very basics of Algebra.
OpenStudy (anonymous):
okay, i got that
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OpenStudy (anonymous):
Graphing is then introduced to help you solve an equation that has 2 variables. A variable can be (x, y, z, ) etc.
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
For example, you are then given 3x+2y=1. This is kinda hard to just solve. When you graph it, it makes finding what x and y easier.
OpenStudy (anonymous):
That's pretty much the whole purpose of graphing.
OpenStudy (anonymous):
okay, to make things easier?
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OpenStudy (anonymous):
Then, you are later introduced more complex concepts such as slopes, y intercepts, x intercepts, and coordinate points.
OpenStudy (anonymous):
This all refers to graphs.
OpenStudy (anonymous):
okay can we do a problem on this
OpenStudy (anonymous):
Sure
OpenStudy (anonymous):
Do you have one in mind?
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OpenStudy (anonymous):
nooo not really
OpenStudy (anonymous):
okay. Say you have a question that asks you to find the slope of 2 coordinate points. For example, the point (2,4) and (5,6). You can chose any points, it doesn't really matter.
OpenStudy (anonymous):
To find the slope between any 2 points, you use a formula that has been made for you.
OpenStudy (anonymous):
Let me graph this points. It might make explaining easier.
OpenStudy (anonymous):
wich us?
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OpenStudy (anonymous):
okay you csan do that if you want
OpenStudy (anonymous):
OpenStudy (anonymous):
Look at the attachment.
OpenStudy (anonymous):
i remember that
OpenStudy (anonymous):
Good. Do you know what y and y1 and x and x1 mean in that equation?
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OpenStudy (anonymous):
the coordinates 2,4 and 5,6..i think x1=2, y1=4, x2=5, y2=6? right?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
then you flip then like on the equasion
OpenStudy (anonymous):
What do you mean flip?
OpenStudy (anonymous):
So, using that equation that i posted above, can you fine the slope?
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OpenStudy (anonymous):
like y2-y1 (2-4) right?
OpenStudy (anonymous):
-2, 3?
OpenStudy (anonymous):
-2/3?
OpenStudy (anonymous):
Thats close. But not correct.
OpenStudy (anonymous):
oh... then what?
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OpenStudy (anonymous):
What is 6-4? and 5-2?
OpenStudy (anonymous):
2,3?
OpenStudy (anonymous):
so 2/3?
OpenStudy (anonymous):
|dw:1352477396740:dw|
OpenStudy (anonymous):
yes.
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OpenStudy (anonymous):
sweet, so whats next
OpenStudy (anonymous):
Okay, so find the slope between (-2,3) and (5,-8)
OpenStudy (anonymous):
Let me know what you get.
OpenStudy (anonymous):
3/5?
OpenStudy (anonymous):
no.
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OpenStudy (anonymous):
hang on
OpenStudy (anonymous):
Its a littler trickier when you get involved with negative numbers.