Question

@jim_thompson5910

Answer 1

in the graph, is the shading above or below dashed line

Answer 2

do you see the shaded region I'm referring to?

Answer 3

its above :)

Answer 4

so because all the y coefficients are positive on the left side, we'll be dealing with a > sign

that means we can rule out choices A and B

Answer 5

because the graphs for A and B will have shaded regions below the boundary line

Answer 6

ok :)

Answer 7

now you need to find the slope of the graph given

Answer 8

so pick two points that are on the graph, say (6,4) and (12,8), and use them to find the slope

Answer 9

isnt the slope 0.6...

Answer 10

write it in fraction form

Answer 11

6/10 simplified to 3/5

Answer 12

how are you getting 6/10

Answer 13

the fraction of .6 is 6/10 ..

Answer 14

how did you get 0.6

Answer 15

(y^2 - y^1) / (x^2 - x^1)
(8 - 4) / (12 - 6)
4 / 6 sorry lol

Answer 16

4/6 = ??

reduce this

Answer 17

2/3

Answer 18

so that's your slope

Answer 19

now you want the equation to also have a slope of 2/3

so what you need to do is solve each inequality in C and D for y to get it into slope intercept form

Answer 20

what would x be ?

Answer 21

don't worry about x, just solve for y

Answer 22

2y - 3x > 0
2y - 3x = 0
2y - 3x + 3x = 0 + 3x
2y = 3x
2y / 2 = 3x / 2
y = 3x / 2

Answer 23

so choice C has a slope of ____

Answer 24

3/2 ?

Answer 25

that's NOT the same as 2/3, so choice C is out

Answer 26

D is the only thing left, but I suggest doing the same steps to confirm you actually have a slope of 2/3 for D

Answer 27

ok let me do D

3y - 2x = 0
3y - 2x + 2x = 0 + 2x
3y = 2x
3y / 3 = 2x / 3
y = 2x / 3
slope is 2/3

Answer 28

good, that matches with the graph, so the answer is choice D