enter an inequality that represents the graph in the box.
explain, because i don't understand this!

y > -3x + 6

Step-by-step explanation:

First, find the equation of the dashed line.  We can use y = mx + b, where m is the slope and b is the y-intercept.

Here, the y-intercept is (0, 6).  To find the slope, we need a second point on the line.  Let's choose (2, 0).

m = Δy / Δx

m = (6 − 0) / (0 − 2)

m = -3

So the equation of the dashed line is y = -3x + 6.

Now look which side of the line is shaded.  In this case, the area above the line is shaded.  So the inequality is:

y > -3x + 6

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

2nd one in the first row is correct