Mathematics
10 Online
OpenStudy (anonymous):
Write the standard form of the line that passes through the given points.
(7, -3) and (4, -8)
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OpenStudy (sleepyjess):
let's put it in point slope form first
OpenStudy (anonymous):
How do you do that?
OpenStudy (sleepyjess):
do you know what point slope form is?
OpenStudy (anonymous):
No, I haven't really worked with point slope
OpenStudy (sleepyjess):
Wait, no, maybe not point slope. Have you learned slope intercept form?
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OpenStudy (anonymous):
Yes ma'am. y=mx+b
OpenStudy (sleepyjess):
Okay, let's use that then :)
First we need to find the slope
OpenStudy (anonymous):
Alright, gimme a second.
OpenStudy (sleepyjess):
ok :)
OpenStudy (anonymous):
5/3
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OpenStudy (sleepyjess):
Yes, now we can use that to find the y intercept
OpenStudy (anonymous):
-44/3
OpenStudy (sleepyjess):
what is -44/3?
OpenStudy (anonymous):
The y-intercept.
OpenStudy (sleepyjess):
the y-intercept is where x = 0
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OpenStudy (anonymous):
Oh..lol I just went to Mathway.com and got the slope and y-intercept from there
OpenStudy (sleepyjess):
do you know how to find slope?
OpenStudy (anonymous):
y2-y1/x2-x1
OpenStudy (sleepyjess):
Ok, I see what you are saying, the y intercept is 0, 44/3
OpenStudy (sleepyjess):
Now we have y = 5/3x - 44/3
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OpenStudy (sleepyjess):
I am just confusing myself now...
OpenStudy (anonymous):
Me too! Lol
OpenStudy (sleepyjess):
@hartnn
hartnn (hartnn):
whats the standard form of line ?
OpenStudy (anonymous):
I don't know! That's what I'm trying to figure out lol
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hartnn (hartnn):
its
ax+by =c
OpenStudy (anonymous):
Yes.
hartnn (hartnn):
y = 5/3x - 44/3
multiply throughout by 3
OpenStudy (anonymous):
Even y?
hartnn (hartnn):
everything
that will eliminate fractions on right side
and make our life easier ^_^
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OpenStudy (anonymous):
3y=5x-44
OpenStudy (anonymous):
Would the answer be 5x+3y=-44?
OpenStudy (sleepyjess):
Almost
OpenStudy (sleepyjess):
You added 5x instead of subtracting
OpenStudy (anonymous):
5x was never negative though
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OpenStudy (sleepyjess):
but we need to subtract to move it to the left side
OpenStudy (anonymous):
-5x+3y=-44 ??
OpenStudy (sleepyjess):
yes, and personally, I would probably multiply by -1 to make x positive, but it isn't required
hartnn (hartnn):
lets do that,
it wil be more accurate
OpenStudy (anonymous):
???
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hartnn (hartnn):
keeping the co-efficient of x as positive
hartnn (hartnn):
multiply by -1 throughout
OpenStudy (anonymous):
So it would make 3y negative
OpenStudy (sleepyjess):
Everything just changes signs
OpenStudy (anonymous):
So the answer is 5x-3y=44
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OpenStudy (sleepyjess):
Yes
OpenStudy (anonymous):
AHH THANK YOU BOTH
OpenStudy (anonymous):
This is all so confusing to me. I have a few more questions if y'all wouldn't mind helping me
OpenStudy (sleepyjess):
you're welcome
sure :)