anonymous
  • anonymous
Choose the system of equations which matches the following graph. x + 2y = −10 3x − y = 12 x − 2y = −10 3x − y = 12 x + 2y = −10 3x + y = 12 x − 2y = −10 3x + y = 12
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@reemii
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reemii
  • reemii
if you look at the propositions your head will hurt.. just find the two equations. You know - how to find the slope of both lines - you can find a point of the first and the second line.. then you can use a formula to write the equations.
anonymous
  • anonymous
How would I get started on doing this for these equations?

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reemii
  • reemii
|dw:1370278806324:dw|
anonymous
  • anonymous
Yes, (-4, -3)
anonymous
  • anonymous
Right? @reemii
reemii
  • reemii
find another point, and you'll be able to determine the slope.
anonymous
  • anonymous
(4, -7)?
reemii
  • reemii
yes. then the slope is: ... other question: do you know the formula for the equation of a line? (i think you should fine it in your notes somewhere)
anonymous
  • anonymous
I could go back and look through a semester of notes, but could you just show me what the equation is so I can find it?
reemii
  • reemii
\(y=ax+b\). if you have the slope (here it is -1/2) then you have a. a is the slope. b is the y-value on the y-axis. you can see that your line crosses the y-axis at y=-5. therefore the first equation is y=-1/2x-5.
anonymous
  • anonymous
That isn't any of the possible first equations in the possible answers though
reemii
  • reemii
multiply everything by 2. you get 2y = -x-10 which is x+2y=-10.
reemii
  • reemii
so it's either the 1st or the 3rd option.
anonymous
  • anonymous
Then the second equation would be, 3x + y = 12?
reemii
  • reemii
why?
anonymous
  • anonymous
To be honest with you, that was just a guess
rajee_sam
  • rajee_sam
There is a much simpler way. Would you like to know?
rajee_sam
  • rajee_sam
@kyleguitarplayer
anonymous
  • anonymous
Yes please!
rajee_sam
  • rajee_sam
Ok. Each system of equations has two equations right? Each equation represents a line. That is why you have two lines in the graph. Each line belongs to one equation in the system
rajee_sam
  • rajee_sam
When you solve these equations you will get a value for x and a value for Y right?
rajee_sam
  • rajee_sam
are you there? pl. nod if you understand what I wrote
anonymous
  • anonymous
Right!
anonymous
  • anonymous
Yes I understand!
rajee_sam
  • rajee_sam
sorry lost connection
rajee_sam
  • rajee_sam
Ok when you see the two lines they intersect at a point. Can you tell me what point that is?
rajee_sam
  • rajee_sam
@kyleguitarplayer
anonymous
  • anonymous
The solution? The intersection point?
rajee_sam
  • rajee_sam
Are you there @kyleguitarplayer ?
rajee_sam
  • rajee_sam
yes the intersection point is the solution. So plug in this point in the system of equation and see which pair it is solution to.
rajee_sam
  • rajee_sam
that is all you need to do
anonymous
  • anonymous
So its option A then???
rajee_sam
  • rajee_sam
yes
anonymous
  • anonymous
Thank you so much for helping me understand!!

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