Match a standard form equation with the graph below.

https://media.education2020.com/evresources/2066309_1-4-2013_7-55-42_am.jpg

Question

Match a standard form equation with the graph below.

https://media.education2020.com/evresources/2066309_1-4-2013_7-55-42_am.jpg

anonymous · Answer

is this all of the question?

sydthekid913 · Answer

yup

sydthekid913 · Answer

you can open the link though

anonymous · Answer

It isn't multiple choice or anything?

sydthekid913 · Answer

ya it is

sydthekid913 · Answer

do you want the answers

sydthekid913 · Answer

A.
20 = 2x -13y
B.
20 = 2x + 13y
C.
20 = -2x - 13y
D.
20 = -2x + 13y

anonymous · Answer

there we go. You cannot solve this one without them! the best way to solve this is to put this in standard form! y = mx+ b where m is the slope(rise/run) and b is the y intercept! does this help any?

anonymous · Answer

I can see one thing about the slope. is it positive or negative?

sydthekid913 · Answer

I think it is both

anonymous · Answer

well, the line is going down right? so the slope will be negative. This narrows it down to c or d

anonymous · Answer

Do you understand why? if not, i can explain a bit more into detail

sydthekid913 · Answer

ok and I know that the A value has to be greater than zero

sydthekid913 · Answer

Can you explain a bit more?  I think they want me to solve and simplify using cancelling and actual operations.

sydthekid913 · Answer

can I fan you?

sydthekid913 · Answer

R u still there?

anonymous · Answer

I am doing a very fast estimate since I have 4 choices that are very different, and for this type of question, without the 4 choices we could never solve it. I know I like the form 
y = mx+b
so I want to quickly set my equation up this way.
let us try C first. (this is a trial and error type problem until you get some experience and can recognize faster)
we like C and D because with the picture, we see the slope of the line is negative, and we know that  m = slope in this form!
ok so, here is c! it has a negative slope right? at the moment, the m attached to x is -2 right?
20 = -2x -13y

anonymous · Answer

obviously, the slope is not -2. but also, 
20 = -2x - 13y is not the form y = mx+b so we need to move some stuff around! can you do some algebra to make y be alone on the right side?

anonymous · Answer

stop me the moment i say something that doesn't seem clear ok! at this time, i assume you understand what a slope is, and how to find it with a line on a graph. if i assume wrong, let me know!