Question

I need help Really bad please help!!! see attachments

Answer 1

ok, given 2 points can you first find the equation of the line ?

Answer 2

3/5

Answer 3

did u get that as slope of line ?
are you sure its 3/5 and not -3/5 ?

Answer 4

y=mx+b?

Answer 5

yes i think it is right:)

Answer 6

Heres the equation for a line given two intercepts. Given the intercepts (a,0) and (0,b)

\[x/a + y/b = 1\]

Answer 7

yes, y=mx+b is correct form
good, you found m = 3/5
now find 'b' by plugging in any one point, say
(0,-3)
so, put x=0, y=-3 and find 'b' :)

Answer 8

ok
so 3/5 is m

Answer 9

yes.

Answer 10

y-3/5+0

Answer 11

3/5+0-3

Answer 12

what was that ?
when you plug in y=-3, x=0 in y=mx+b
you get
-3 = 0+b
so, b= -3
got it ?

Answer 13

ohhh

Answer 14

yes, so you equation of line becomes y=(3/5)x -3
clear till here ?

Answer 15

yes and also is there a greater than or equal to in this equation?

Answer 16

yes, one last step is remaining
since it is an inequality, we need to find whether
\(y \ge (3/5)x-3\)
or
\(y \le (3/5)x-3\)
do you know how to find ?

Answer 17

yes sir

Answer 18

i think it is the second one

Answer 19

how ?

Answer 20

because of the shaded part

Answer 21

but why not the first one ?

Answer 22

but thats all i know because of the shaded part i dont know fully why?

Answer 23

i think because of the shaded part

Answer 24

ok, let us test a point, which is IN THE SHADED region
the easiest one will be the origin (0,0)
does 0,0 satisfy 1st equation or 2nd equation ?
can you test ?

Answer 25

nope

Answer 26

i dont think it could satisfy

Answer 27

how would i test it

Answer 28

just plug in x= 0, y= 0 in both the equations, and see which relation is true.
like if i had to test 0,0 for y > 4x-18
i would plug in x=0, y=0 to get 0 > 0-18 , that is 0 > -18 which IS TRUE
got this ?

Answer 29

yes kind of

Answer 30

0 is not greater than 18

Answer 31

so, what about
\(y \ge (3/5)x-3\)
x=0, y= 0

Answer 32

oh sorry 0 is greater than -18

Answer 33

yes thats true

Answer 34

so now i think its the first one lol

Answer 35

yes, it IS the 1st one :)

Answer 36

thank you

Answer 37

i might have more questions if you see a post of mine can please help me thank you! :D