anonymous
  • anonymous
find an equation for the line with the points 3,-7 and -6,9 in the general form Ax+By=C
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
help
Mertsj
  • Mertsj
Did you find the slope of the line?
anonymous
  • anonymous
no

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More answers

Mertsj
  • Mertsj
That would be the first step. Do you know how to find the slope?
anonymous
  • anonymous
yeah
Mertsj
  • Mertsj
Ok. Do it and tell me what you get.
anonymous
  • anonymous
-16/9
Mertsj
  • Mertsj
That's what I got.
Mertsj
  • Mertsj
Now pick one of the points. Which one do you choose?
anonymous
  • anonymous
3,-7
Mertsj
  • Mertsj
\[y-y _{1}=m(x-x _{1})\]
Mertsj
  • Mertsj
Put -7 in place of y1. Put -16/9 in place of m and put 3 in place of x1
Mertsj
  • Mertsj
\[y-(-7)=-\frac{16}{9}(x-3)\] \[y+7=\frac{-16}{9}x+\frac{16}{3}\] \[y=\frac{-16}{9}x-\frac{5}{3}\]
Mertsj
  • Mertsj
Is that what you got?
anonymous
  • anonymous
no, if you minus 7, u have to minus it from both sides
anonymous
  • anonymous
that , and its not in the form Ax+By=C
Mertsj
  • Mertsj
Whoops. I forgot about that part. Let's rearrange it.
anonymous
  • anonymous
the actual answer is 16x+9y=-15, but i dont know how to get there
Mertsj
  • Mertsj
\[y=\frac{-16}{9}x-\frac{5}{3}\] Multiply both sides by 9 to clear the fractions
Mertsj
  • Mertsj
\[9(y)=9(\frac{-16}{9})x-9(\frac{-5}{3})\]
Mertsj
  • Mertsj
\[9y=-16x+15\]
Mertsj
  • Mertsj
Correction: 9y=-16x-15
Mertsj
  • Mertsj
16x+9y=-15
anonymous
  • anonymous
how did you get 5-3?
anonymous
  • anonymous
i mean 5/3
Mertsj
  • Mertsj
16/3-7
Mertsj
  • Mertsj
\[y+7=\frac{-16}{9}x+\frac{16}{3}\]
Mertsj
  • Mertsj
subtract 7 from both sides in that equation.
Mertsj
  • Mertsj
16/3-7=-5/3
anonymous
  • anonymous
so u use point slope form to find b, then rearange to fit Ax+By=c?
Mertsj
  • Mertsj
yes. or you could use slope-intercept form if you prefer.
anonymous
  • anonymous
how would slope intercept work
Mertsj
  • Mertsj
\[y=mx+b\] \[7=\frac{-16}{9}(3)+b\]
Mertsj
  • Mertsj
Make the 7 negative.
Mertsj
  • Mertsj
\[-7=\frac{-16}{3}+b\]
Mertsj
  • Mertsj
Add 16/3 to both sides.
Mertsj
  • Mertsj
\[\frac{-5}{3}=b\]
Mertsj
  • Mertsj
\[y=\frac{-16}{9}x-\frac{5}{3}\]
Mertsj
  • Mertsj
do you understand?
anonymous
  • anonymous
awsome, thank you
Mertsj
  • Mertsj
yw. Now practice some more problems so you can fix it in your mind.

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