Which system of equations is represented in the graph below?

Question

anonymous · Answer

attachment

turingtest · Answer

can you write the equation of each line using point-slope form$$y-y_1=m(x-x_1)$$???

anonymous · Answer

–3x + 2y = 9
x + 2y = 5 
   3x – 2y = 9
–x – 2y = 5 
   3x + 2y = –9
x + 2y = –5 
   3x – 2y = –9
x – 2y = –5

anonymous · Answer

those are the answwerrs given

turingtest · Answer

answering my questions will answer yours...
can you find the slope of the  lines?
can you write each line in the form$$y-y_1=m(x-x_1)$$???

anonymous · Answer

can someone help me i dont understand how to do these

turingtest · Answer

the first step is to find the slope of each line m with the formula$$m=\frac{y_2-y_1}{x_2-x_1}$$using any two points on the line$$(x_1,y_1),(x_2,y_2)$$
after that you can use the equation I wrote above to write the equation of each line.
See which fits the given solutions.

anonymous · Answer

i got one slope to be 1/3

turingtest · Answer

no, I'm not getting that
the less upward-angled line seems to hit the points (-5,0) and (1,3)
the more steep line looks like it hits (-3,0) and (-1,3).
Those will be the points you use to calculate each slope.
What do you get now?

anonymous · Answer

1/2 and 3/-4