Write the equation of the line that is parallel to the graph of y=-x+6, and whose y-intercept is -2.

8=x

Step-by-step explanation:

First of all, substitute -2 for y: -2=-x+6. Then collect like terms by bringing the +6 to the other side to -2 and also change the sign: -6. -2-6=-x. Then solve -2-6 which is -8. Now you are left with -8=-x. Since you want to get x by itself, divide both sides by -1 which will give you x=8

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.