Question

Is 'Passing through' and "containing" the same thing when finding the equation of the line with the given properties?

Answer 1

yup

Answer 2

OK... Here is the problem to be solved: "Find the equation of the line with the given properties (-2,6) and (-1,8)
Here is what I have done so far. My question to you so far is this: #1 am I correct up to the point I am at and from there, where do I go. ~ Below is my work
Y - Y1 = M (X-X1) M=Y2-Y1 / X2-X1 (THESE ARE MY FORMULAS)
M=8-6 / -1-(-2) = 2/1
Y-8 = 2/1 (X-1)

Answer 3

you have done absolutely correct except for the last line Y-8 = 2/1 (X-(-1))
as th point is (-1,8)

Answer 4

So so how you types it is how it should look?

Answer 5

so the final ans would be (y-8)=2(x+1)
or y-8=2x+2 or 2x-y +10=0

Answer 6

you totally lost me. I was still trying to figure out the next step after
Y-8=2/1 (x-(-1))

Answer 7

can you back up a bit and walk me through the next few steps please?

Answer 8

yup u ar right as (x-(-1)) = (x+1)

Answer 9

and that's where I get lost.
Y-8=2/1x+1
but I keep going blank as to how I get to the next step.

Answer 10

Do I add 8 to both sides

Answer 11

before this step ur correct
Y-8 = 2/1 (X-1)
if u take (x-1) it means that the line is passing through 1,8
hence instead of (x-1) it should be (x- (-1))=(x+1)

Answer 12

So it now looks like:
Y-8 = 2/1x + 1
my next step would be to add 8 to both sides?
Y = 2/1x + 9

Answer 13

here first multiply 2(x+1)
as (y-8) = 2(x+1)
and then simplify ...

Answer 14

y-8=2x+2
or y=2x+2+8
or y=2x+10
2x-y +10=0

Answer 15

So now I have
Y= 2x + 10

Answer 16

correct...

Answer 17

You are awesomeness wrapped in a bow!!!!!!!!!!! Thank You Thank You Thank You