Question

How can you determine algebraically that the points A(1,2), B(2,4), C(3,6) are on the same line?

Answer 1

\[\frac{Ay-By}{Ax-Bx}=\frac{Cy-By}{Cx-Bx}\]

Answer 2

I'll use distance between points...

Answer 3

distance doesnt tell you if they are in the same line; slope does

Answer 4

let's see...

Answer 5

three feet north is not in line with three feet west is it?

Answer 6

AB=sqrt (5)
bc=sqrt(5)
AC=2swrt(5)
so AC=AB+BC
right?

Answer 7

i got no idea what you typed

Answer 8

distance between points A & B, as well B & C and A&C

Answer 9

distance doesnt tell you if they are on the same line.

Answer 10

equal distance could indicate a circle

Answer 11

it has to in this case. how else AC would be = AB+BC...?

Answer 12

oh isee what your saying now lol.... thats plausible then

Answer 13

great!

Answer 14

Nice job, can either of you take a look at the graphing question I posted a bit ago with the attachment? Thanks