Write an equation in standard form parallel to y=3x-2 through the point (5,6)
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OpenStudy (anonymous):
do you know what the slope of \[y=3x-2\] is?
OpenStudy (anonymous):
I have no idea.. I'm really bad at this :/
OpenStudy (anonymous):
-2?
OpenStudy (anonymous):
\[\large y = \color{red}mx+\color{blue}b\] has slope \(\color{red}m\) and \(y\) intercept \(\color{blue}b\)
OpenStudy (anonymous):
So it would be y=-2x+3?
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OpenStudy (anonymous):
@Reaper534 ??
OpenStudy (anonymous):
?
we are still working on finding the slope of
\[\large y=\color{red}3x-2\]
OpenStudy (anonymous):
is it 3?
OpenStudy (anonymous):
yes it is !
OpenStudy (anonymous):
Yay! ok so i have to make an equattion with the points 5,6 in it
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OpenStudy (anonymous):
Write an equation in standard form PARALLEL to y=3x-2
now means find the equation of the line with slope \(\color{red}3\) through \((5,6)\)
right, exactly
OpenStudy (anonymous):
Can you tell me how to do that?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Ok so what do I do first
OpenStudy (anonymous):
write
\[\large y-\color{green}{y_1}=\color{red}m(x-\color{blue}{x_1})\] with
\[\large \color{red}m=\color{red}3,\color{blue}{x_1}=\color{blue}5,\color{green}{y_1}=\color{green}6\]
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OpenStudy (anonymous):
let me know what you get
OpenStudy (anonymous):
is that the answer?
OpenStudy (anonymous):
type it in and i will tell you
there is another step after that
OpenStudy (anonymous):
Well thats all i really needed.. all i need is to write the equation and thats all
OpenStudy (anonymous):
y−y1=m(x−x1)
with
m=3,x1=5,y1=6
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OpenStudy (anonymous):
no actually you need to write it in standard form
that is not standard form
OpenStudy (anonymous):
ok can you help me put it in stardard form?
OpenStudy (anonymous):
i will after you make the replacements and tell me what you get
OpenStudy (anonymous):
you wrote
y−y1=m(x−x1)
with m=3,x1=5,y1=6
which is what i wrote, explaining how to do it
you need to make those replacements
OpenStudy (anonymous):
y-6=3(x-5)
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OpenStudy (anonymous):
got it
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
I have an other question
OpenStudy (anonymous):
that is "point slope" form
you need "standard " form
the next step is to multiply out on the right
OpenStudy (anonymous):
you may have other questions, and i will help if i can, but this one is not done yet
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OpenStudy (anonymous):
y-6=3x-15?
OpenStudy (anonymous):
is that it??
OpenStudy (anonymous):
that is the next step, yes
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
now add \(6\) to both sides to get \(y\) by itself
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OpenStudy (anonymous):
y=3x-9
OpenStudy (anonymous):
ok good
now it is in "slope intercept" form
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
do i divide?
OpenStudy (anonymous):
to put it in "standard form" put the \(x\)'s and \(y\)'x on one side of the equal sign, the number on the other
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OpenStudy (anonymous):
no no division
OpenStudy (anonymous):
-3x+y=-9?
OpenStudy (anonymous):
\[y=3x-9
\] is "slope intercept" form
\[3x-y=9\] is "standard" form
OpenStudy (anonymous):
ohhhh ok
OpenStudy (anonymous):
yours is good too, but mostly the \(x\) term comes first with a positive coefficient
so while
\[-3x+y=-9\] is one answer, most people write
\[3x-y=9\]
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OpenStudy (anonymous):
Ohhhh ok :) thanks! I have an other question
OpenStudy (anonymous):
k go ahead and ask
what class is this for?
OpenStudy (anonymous):
solve for f(x)=x^2-4x+3
f=-2
OpenStudy (anonymous):
Algebra ll D:
OpenStudy (anonymous):
Im just practicing with some questions in the book
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OpenStudy (anonymous):
is it "find \(f(-2)\)" or is it
solve \(f(x)=-2\) ?