What is the equation of the line that passes through the points (–12, –8) and (–17, –16)? (no image)

- anonymous

What is the equation of the line that passes through the points (–12, –8) and (–17, –16)? (no image)

- schrodinger

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- anonymous

you need the slope first
do you know how to find it?

- anonymous

"no" is a fine answer, i am only asking

- anonymous

is it mx+b ?

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## More answers

- anonymous

no you need slope, which is \(m\)

- anonymous

find it via
\[m=\frac{y_2-y_1}{x_2-x_1}\]

- anonymous

which in your case is
\[m=\frac{-16-(-8)}{-17-(-12)}\]

- anonymous

so 8 over 6? which is 4 over 3?

- anonymous

i get \(\frac{8}{5}\)

- anonymous

next step is
\[y-y_1-m(x-x_1)\]

- anonymous

you can use either point

- anonymous

so I can use 5?

- anonymous

\[y+8=\frac{8}{5}(x+12)\]will do

- anonymous

no not 5, you have to use \(m=\frac{8}{5}\)

- anonymous

ooh okay, I understand

- anonymous

then depending on the form you want, you can solve \[y+8=\frac{8}{5}(x+12)\] for \(y\)

- anonymous

y= 8 + 12 ..? i think I did that right

- anonymous

lets go slow

- anonymous

alrighty

- 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

if you want to solve \[y+8=\frac{8}{5}(x+12)\] for \(y\) to get \[y=mx+b\] you need two steps

- anonymous

a) distribute the \(\frac{8}{5}\) on the right then
b) subtract \(8\) from both sides

- anonymous

let me know if you can do that

- anonymous

So 12-8 is 4, that's all I got so far

- anonymous

again lets back up

- anonymous

step one is to distribute on the right
i.e. distribute here
\[\frac{8}{5}(x+12)\]

- anonymous

by the distributive law,
\[\frac{8}{5}(x+12)=\frac{8}{5}x+\frac{8}{5}\times 12\]

- anonymous

or\[\frac{8}{5}x+\frac{96}{5}\]

- anonymous

so now we have \[y+8=\frac{8}{5}x+\frac{96}{5}\] now subtract \(8\)

- anonymous

Would I subtract 8 from 96 over 5?

- anonymous

\[y=\frac{8}{5}x+\frac{96}{5}-8\] right

- anonymous

compute
\[\frac{96}{5}-8\]

- anonymous

I got 11.2

- anonymous

as a decimal yes

- anonymous

you want decimal answer you would have
\[y=1.6x+11.2\]

- anonymous

fraction answer
\[y=\frac{8}{5}x+\frac{56}{5}\]

- anonymous

you have choices or you just need some answer?

- anonymous

I have choices and most of them have 8/5 in them but they also have 8/5 +(17)

- triciaal

|dw:1439056005643:dw|
I have the same solution carefully read the choices

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