Which system of inequalities are graphed in this picture? (attached below)

- anonymous

Which system of inequalities are graphed in this picture? (attached below)

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- anonymous

##### 1 Attachment

- nubeer

ok can u find the equations of line?

- anonymous

what do you mean?

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- nubeer

you know equation of line.. coordinate geometry? finding slope?

- anonymous

no /: I don't really understand this/:

- nubeer

hmmm ok this would be hard then.. have u even find a slope or gradient? or studied of it?

- anonymous

no/: i'm sorry):

- nubeer

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

|dw:1355596018107:dw|

- nubeer

pick one point and tell me it's coordinates/?

- anonymous

a point on the line or any point?

- nubeer

point on line.

- anonymous

(2,-4)

- nubeer

good.. now pick another one.

- anonymous

(-1,5)

- nubeer

good these points are x2, y2 and the before one and x1,y1 now put these points in the slope formula

- anonymous

would it be 9/-3 ?

- nubeer

yes. which is equal to -3
so m=-3
m is slope ok?

- anonymous

oh ok

- nubeer

ok good.. now the other formula.. equation of line
y = mx+c

- nubeer

y = -3x +c right?

- anonymous

yeah

- nubeer

ok now choose any point from the above two and put the value of x and y in this equation to find c

- anonymous

I got 5 = 3 + c ?

- nubeer

yes find c..

- nubeer

you doing it right dont worry.

- anonymous

c = 2 ? and ohk thanks

- nubeer

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?

- anonymous

would it be > ? and above?

- nubeer

yes.

- anonymous

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

yes same way for other line .. and no worries.. anytime :)

- anonymous

thank you! I understand it much more (: I'll do the other line Thank you!

- nubeer

:) you are most welcome.

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