Question

I Will give a medal

Which system of linear inequalities is represented by the graph?

x – 3y > 6 and y ≥ 2x + 4
x + 3y > 6 and y ≥ 2x – 4
x – 3y > 6 and y ≥ 2x – 4
x + 3y > 6 and y ≥ 2x + 4

Answer 1

@dan815 could you please help?

Answer 2

for the solid line, what is the y-intercept?

Answer 3

4

Answer 4

The equation of a line is y=mx + b where b is the y-intercept

Answer 5

yes

Answer 6

since it is a solid line, the equation must have the ≥ sign

Answer 7

yup

Answer 8

So what would be the equation of that line

Answer 9

look at the choices

Answer 10

I'm thinking d but I dont know

Answer 11

is the y-int +4 or -4

Answer 12

+4

Answer 13

So what answer choices can we rule out?

Answer 14

b and c

Answer 15

that's right

Answer 16

now lets look at the other line

Answer 17

what is the y-int

Answer 18

idk

Answer 19

where does the dotted line cross the vertical line?

Answer 20

+2

Answer 21

yep

Answer 22

use the equations and get y by itself on one side of the inequality

Answer 23

x – 3y > 6
and
x + 3y > 6

Answer 24

how?

Answer 25

simple algebra

Answer 26

ok