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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.
How would I get started on doing this for these equations?
Yes, (-4, -3)
find another point, and you'll be able to determine the slope.
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)
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?
\(y=ax+b\). 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.
That isn't any of the possible first equations in the possible answers though
multiply everything by 2. you get 2y = -x-10 which is x+2y=-10.
so it's either the 1st or the 3rd option.
Then the second equation would be, 3x + y = 12?
To be honest with you, that was just a guess
There is a much simpler way. Would you like to know?
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
When you solve these equations you will get a value for x and a value for Y right?
are you there? pl. nod if you understand what I wrote
Yes I understand!
sorry lost connection
Ok when you see the two lines they intersect at a point. Can you tell me what point that is?
The solution? The intersection point?
Are you there @kyleguitarplayer ?
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.
that is all you need to do
So its option A then???
Thank you so much for helping me understand!!