Question

Help! I'm stuck!

Answer 1

How do I graph \[y + x \ge 0\]
I know its line, but I can't explain why its sloping the way it does.

Answer 2

Here is it's line in geogebra

Answer 3

y+x>=0
first solve
y+x=0

Answer 4

and we have to take value on this line and above

Answer 5

as equal to sign is there so line will also be included
y+x=0
y=-x is our line can you plot it ??

Answer 6

Sorry, I went to the bathroom. Hold on a second.

Answer 7

(0, 0) (1, -1) (2, -2) and so on.

Answer 8

yeah can you draw the line ???

Answer 9

That?

Answer 10

yeah

Answer 11

this is y+x=0

Answer 12

So, how did you get y = -x?

Answer 13

we have to take y+x=0 and y+x>0 both

Answer 14

y+x>=0 we had so its minimum value is
y+x=0

Answer 15

Okay.

Answer 16

now move x on other side

Answer 17

u got it right ???

Answer 18

(-1, 1) (-2, 2) ect.

Answer 19

I need to be able to explain why I did what to get the answer.

Answer 20

okay
we had
x+y>=0

Answer 21

Yes.

Answer 22

so we need to start with minimum possible value

Answer 23

so our y intercept is 0

Answer 24

like if a >=3
what is its minimum value

Answer 25

a=3ok ???

Answer 26

and after that 4 , 5, 6, 7, and so on ...

Answer 27

Our minimum value is 3, because a is greater than or equal to 3

Answer 28

so min value is y+x=0
so we draw this line such that point on line sum to zero
like (0,0) 0+0=0
(1,-1) 1-1=0
and if we put any point in line above these point our ans will be greater than zero

Answer 29

Okay! Thanks! Makes more sense now.