Question

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

Answer 1

ok can u find the equations of line?

Answer 2

what do you mean?

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

no/: i'm sorry):

Answer 7

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.

Answer 8

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

Answer 9

a point on the line or any point?

Answer 10

point on line.

Answer 11

(2,-4)

Answer 12

good.. now pick another one.

Answer 13

(-1,5)

Answer 14

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

Answer 15

would it be 9/-3 ?

Answer 16

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

Answer 17

oh ok

Answer 18

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

Answer 19

y = -3x +c right?

Answer 20

yeah

Answer 21

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

Answer 22

I got 5 = 3 + c ?

Answer 23

yes find c..

Answer 24

you doing it right dont worry.

Answer 25

c = 2 ? and ohk thanks

Answer 26

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?

Answer 27

would it be > ? and above?

Answer 28

yes.

Answer 29

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 (:

Answer 30

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

Answer 31

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

Answer 32

:) you are most welcome.