anonymous
  • anonymous
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)? (no image)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
you need the slope first do you know how to find it?
anonymous
  • anonymous
"no" is a fine answer, i am only asking
anonymous
  • anonymous
is it mx+b ?

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anonymous
  • anonymous
no you need slope, which is \(m\)
anonymous
  • anonymous
find it via \[m=\frac{y_2-y_1}{x_2-x_1}\]
anonymous
  • anonymous
which in your case is \[m=\frac{-16-(-8)}{-17-(-12)}\]
anonymous
  • anonymous
so 8 over 6? which is 4 over 3?
anonymous
  • anonymous
i get \(\frac{8}{5}\)
anonymous
  • anonymous
next step is \[y-y_1-m(x-x_1)\]
anonymous
  • anonymous
you can use either point
anonymous
  • anonymous
so I can use 5?
anonymous
  • anonymous
\[y+8=\frac{8}{5}(x+12)\]will do
anonymous
  • anonymous
no not 5, you have to use \(m=\frac{8}{5}\)
anonymous
  • anonymous
ooh okay, I understand
anonymous
  • anonymous
then depending on the form you want, you can solve \[y+8=\frac{8}{5}(x+12)\] for \(y\)
anonymous
  • anonymous
y= 8 + 12 ..? i think I did that right
anonymous
  • anonymous
lets go slow
anonymous
  • anonymous
alrighty
anonymous
  • anonymous
\[y+8=\frac{8}{5}(x+12)\] as an x and a y in it they are the x and y in your equation \[y=mx+b\]
anonymous
  • anonymous
if you want to solve \[y+8=\frac{8}{5}(x+12)\] for \(y\) to get \[y=mx+b\] you need two steps
anonymous
  • anonymous
a) distribute the \(\frac{8}{5}\) on the right then b) subtract \(8\) from both sides
anonymous
  • anonymous
let me know if you can do that
anonymous
  • anonymous
So 12-8 is 4, that's all I got so far
anonymous
  • anonymous
again lets back up
anonymous
  • anonymous
step one is to distribute on the right i.e. distribute here \[\frac{8}{5}(x+12)\]
anonymous
  • anonymous
by the distributive law, \[\frac{8}{5}(x+12)=\frac{8}{5}x+\frac{8}{5}\times 12\]
anonymous
  • anonymous
or\[\frac{8}{5}x+\frac{96}{5}\]
anonymous
  • anonymous
so now we have \[y+8=\frac{8}{5}x+\frac{96}{5}\] now subtract \(8\)
anonymous
  • anonymous
Would I subtract 8 from 96 over 5?
anonymous
  • anonymous
\[y=\frac{8}{5}x+\frac{96}{5}-8\] right
anonymous
  • anonymous
compute \[\frac{96}{5}-8\]
anonymous
  • anonymous
I got 11.2
anonymous
  • anonymous
as a decimal yes
anonymous
  • anonymous
you want decimal answer you would have \[y=1.6x+11.2\]
anonymous
  • anonymous
fraction answer \[y=\frac{8}{5}x+\frac{56}{5}\]
anonymous
  • anonymous
you have choices or you just need some answer?
anonymous
  • anonymous
I have choices and most of them have 8/5 in them but they also have 8/5 +(17)
triciaal
  • triciaal
|dw:1439056005643:dw| I have the same solution carefully read the choices

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