Question

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

Answer 1

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

Answer 2

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

Answer 3

is it mx+b ?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

so 8 over 6? which is 4 over 3?

Answer 8

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

Answer 9

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

Answer 10

you can use either point

Answer 11

so I can use 5?

Answer 12

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

Answer 13

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

Answer 14

ooh okay, I understand

Answer 15

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

Answer 16

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

Answer 17

lets go slow

Answer 18

alrighty

Answer 19

\[y+8=\frac{8}{5}(x+12)\] as an x and a y in it
they are the x and y in your equation
\[y=mx+b\]

Answer 20

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

Answer 21

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

Answer 22

let me know if you can do that

Answer 23

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

Answer 24

again lets back up

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

Would I subtract 8 from 96 over 5?

Answer 30

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

Answer 31

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

Answer 32

I got 11.2

Answer 33

as a decimal yes

Answer 34

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

Answer 35

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

Answer 36

you have choices or you just need some answer?

Answer 37

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

Answer 38

I have the same solution carefully read the choices