Steph_Rawr352
Which system of inequalities are graphed in this picture? (attached below)
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Steph_Rawr352
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nubeer
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ok can u find the equations of line?
Steph_Rawr352
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what do you mean?
nubeer
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you know equation of line.. coordinate geometry? finding slope?
Steph_Rawr352
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no /: I don't really understand this/:
nubeer
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hmmm ok this would be hard then.. have u even find a slope or gradient? or studied of it?
Steph_Rawr352
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no/: i'm sorry):
nubeer
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lol no worries.. well then u need to memorize few formula's and stay with me on this one..
\[slope = \frac{ y2-y1 }{ x2-x1 }\]
the x's and y's are coordinates or points on graph.
nubeer
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|dw:1355596018107:dw|
nubeer
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pick one point and tell me it's coordinates/?
Steph_Rawr352
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a point on the line or any point?
nubeer
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point on line.
Steph_Rawr352
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(2,-4)
nubeer
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good.. now pick another one.
Steph_Rawr352
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(-1,5)
nubeer
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good these points are x2, y2 and the before one and x1,y1 now put these points in the slope formula
Steph_Rawr352
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would it be 9/-3 ?
nubeer
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yes. which is equal to -3
so m=-3
m is slope ok?
Steph_Rawr352
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oh ok
nubeer
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ok good.. now the other formula.. equation of line
y = mx+c
nubeer
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y = -3x +c right?
Steph_Rawr352
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yeah
nubeer
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ok now choose any point from the above two and put the value of x and y in this equation to find c
Steph_Rawr352
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I got 5 = 3 + c ?
nubeer
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yes find c..
nubeer
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you doing it right dont worry.
Steph_Rawr352
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c = 2 ? and ohk thanks
nubeer
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yes c = 2
so your equation is y = -3x +2
y +3x = 2
as its told that its inequatlity so put an inequatlity sign .. and the line on graph is dotted so u will just put < or> sign not equal with them..
now tell me which region is shaded from the line.. above or below?
Steph_Rawr352
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would it be > ? and above?
nubeer
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yes.
Steph_Rawr352
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ohhhh ohk i see what you're doing! so now to find the other inequality.. do i pick two point from the other line? btw thank you for helping me (:
nubeer
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yes same way for other line .. and no worries.. anytime :)
Steph_Rawr352
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thank you! I understand it much more (: I'll do the other line Thank you!
nubeer
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:) you are most welcome.