Please help me with this math problem

E.  y = 2/3x

Step-by-step explanation:

You need to make an equation in slope-intercept form.  

First, you need to find the slope.  You can do this by taking two points and dividing the difference of the y's by the difference of the x's.  I will use the first two points, but you can pick whichever points you want and still get the right answer.  Also, the values in the left column will be x's, and the values in the right column will be y's.

8 - 2 = 6

12 - 3 = 9

6/9 = 2/3

The slope is 2/3.  The only equation with this value is E.

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.

a

step-by-step explanation: