Question

Last one.
Please help! Will medal!

Which equations represent the line shown in the graph?

Choose all answers that are correct.



A. y-1=-4/3(x+1)

B. 4x+3y=-1


C. 3x-4y=1


D. y=-4/3x-1/3

https://static.k12.com/calms_media/media/1511000_1511500/1511274/1/7fe8f24783527bc74e0dc3165760f3c25f30bc0e/MS_IMC-140805-180401.jpg

Answer 1

Any ideas?

Answer 2

I'm about 99% sure it's either B or D.

Answer 3

Or B&D.

Answer 4

Because it's multiple answers.

Answer 5

they are a couple of ways to do this:

1) write each line in y=mx+b form
Find equation of line from graph
match the correct options with line from graph

2) Plug in the 2 given points from graph into each option and see if each equation contains the 2 points, if they do then it matches with line of graph.

Answer 6

Yeah that's pretty much what I did, is it B&D? Or is it just one of them?

Answer 7

which method did you use?

Answer 8

I wrote each line in y+mx+b form and then found the line of equation.

Answer 9

ok great, so you got y = -4/3x - 1/3
so you know it must be D right?

Answer 10

Oh yeah, 100% D. But it's supposed to be multiple answers, so I think it may be B as the other option.

Answer 11

well you can be 100% sure , just rewrite B in y=mx+b form

Answer 12

Do the same for A and D as well .... there is a 3rd option that matches as well

Answer 13

Ok, x = -3/4 for B in y=mx+b form, y = 0 and y = 1/3

Answer 14

So I think B isn't it? Or is it?

Answer 15

hmm ok lets review writing in y=mx+b form

the goal is to solve for the y variable
step 1:
move "x" term to opposite side of "y" term
\[3y = - 4x-1\]
step 2:
Divide by y coefficient
\[y = -\frac{4}{3}x - \frac{1}{3}\]

Answer 16

Now you can see it matches our line exactly.
So both B and D are correct

Answer 17

Ok, and you said there was a third option that was correct. I'm thinking it's C.

Answer 18

why do you think its C?
just put it in y=mx+b form and then you will know 100% .... no guessing

Answer 19

y= 3/4 x - 1/4 would be C in y=mx+b form. I'm in between A & C but what do you think?

Answer 20

yes correct and that line does not match line from graph
C) is incorrect

Answer 21

So It's A, B, and D?

Answer 22

Yes but verify this for yourself .... Put A in y=mx+b form to make sure it matches