Question

can someone please help me with this math question? please I'll fan and give a medal...

Answer 1

show the steps to graph this equation --
x + y <= -3

Answer 2

@jim_thompson5910 would you mind helping me again?

Answer 3

how far did you get with this one?

Answer 4

no where... I'm not sure how to do it since both the x and y have no numbers

Answer 5

first, let's replace the inequality sign with an equal sign

so `x+y <= -3` will turn into `x+y = -3`

Answer 6

now let's find the y intercept

to do this, replace every copy of 'x' with 0. Then isolate y

Answer 7

what do you get when you do this?

Answer 8

so it would look like this right?
-3+y?

Answer 9

x+y = -3

0+y = -3 ... replace every 'x' with 0

y = -3 .... simplify

Answer 10

So when x = 0 this makes y = -3

They pair up to form the ordered pair (0,-3) which is the y intercept

Answer 11

okay, would x be the same?

Answer 12

x-intercept

x+y = -3

x+0 = -3 .... replace every 'y' with 0

x = -3 .... simplify


yes that is correct. The x-intercept would be (-3,0)

Answer 13

plot the two points, then draw a solid line through them

then determine where the shaded region should be based on a test point. (0,0) is often a good test point to try out

Answer 14

Thank you so much!! @jim_thompson5910 you are very very helpful!!!

Answer 15

I'm glad I could help